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resuelve todos lo ejercicios con procedimiento 

To solve the exercises in the image, I will first extract and transcribe the mathematical expressions and instructions. After that, I'll provide detailed solutions with steps for each exercise.

### Problem Analysis

1. The instructions seem to involve performing operations like calculating sums, differences, products, and quotients for fractions and then solving algebraic equations.

Let me first list out and transcribe each section of the problems, and then provide the solutions accordingly.

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### Transcription of Problems:

1. **Calculate**:
   - \( \frac{14}{7} + \frac{15}{8} \)
   - \( 1 + 0.75 + 0.25 \)
   - \( -4 + 2.78 \)
   - \( 0.25 \div 3 \)

2. **Operations** (simplifying expressions with fractions and decimals):
   - \( -1 + 1 - 4 \)
   - \( 3 - \frac{1}{4} \)
   - \( \frac{3}{2} + 1 - \frac{7}{2} \)
   - \( \frac{12}{3} + 0.6 - 8 \)

3. **Equations**:
   - \( -7x + 4 = 8 - 3x - 6 \)
   - \( 4m - 3 = 2(3m - 5) \)
   - \( 6 = 4(3p - 1) + 10p \)
   - \( 2t + 5 = 4t - 3 \)

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### Solutions with Detailed Steps:

1. **Calculate**:
   - \( \frac{14}{7} + \frac{15}{8} \):
     - \( \frac{14}{7} = 2 \)
     - Find a common denominator for \( 2 \) and \( \frac{15}{8} \): Convert \( 2 \) to \( \frac{16}{8} \).
     - \( \frac{16}{8} + \frac{15}{8} = \frac{31}{8} \).

   - \( 1 + 0.75 + 0.25 \):
     - \( 1 + 0.75 + 0.25 = 2 \).

   - \( -4 + 2.78 \):
     - \( -4 + 2.78 = -1.22 \).

   - \( 0.25 \div 3 \):
     - \( 0.25 \div 3 = \frac{1}{12} \approx 0.0833 \).

2. **Operations**:
   - \( -1 + 1 - 4 \):
     - \( -1 + 1 = 0 \), so \( 0 - 4 = -4 \).

   - \( 3 - \frac{1}{4} \):
     - \( 3 = \frac{12}{4} \), so \( \frac{12}{4} - \frac{1}{4} = \frac{11}{4} \) or \( 2.75 \).

   - \( \frac{3}{2} + 1 - \frac{7}{2} \):
     - Convert \( 1 \) to \( \frac{2}{2} \).
     - \( \frac{3}{2} + \frac{2}{2} - \frac{7}{2} = \frac{5}{2} - \frac{7}{2} = -\frac{2}{2} = -1 \).

   - \( \frac{12}{3} + 0.6 - 8 \):
     - \( \frac{12}{3} = 4 \).
     - \( 4 + 0.6 - 8 = -3.4 \).

3. **Equations**:
   - \( -7x + 4 = 8 - 3x - 6 \):
     - Simplify: \( -7x + 4 = 2 - 3x \).
     - Add \( 7x \) to both sides: \( 4 = 2 + 4x \).
     - Subtract 2 from both sides: \( 2 = 4x \).
     - Divide by 4: \( x = \frac{1}{2} \).

   - \( 4m - 3 = 2(3m - 5) \):
     - Distribute: \( 4m - 3 = 6m - 10 \).
     - Subtract \( 4m \) from both sides: \( -3 = 2m - 10 \).
     - Add 10 to both sides: \( 7 = 2m \).
     - Divide by 2: \( m = \frac{7}{2} = 3.5 \).

   - \( 6 = 4(3p - 1) + 10p \):
     - Distribute: \( 6 = 12p - 4 + 10p \).
     - Combine like terms: \( 6 = 22p - 4 \).
     - Add 4 to both sides: \( 10 = 22p \).
     - Divide by 22: \( p = \frac{10}{22} = \frac{5}{11} \).

   - \( 2t + 5 = 4t - 3 \):
     - Subtract \( 2t \) from both sides: \( 5 = 2t - 3 \).
     - Add 3 to both sides: \( 8 = 2t \).
     - Divide by 2: \( t = 4 \).

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Do you want more details on any of these solutions or have any questions? Here are five related questions that you can explore:

1. How do you find the least common denominator when adding fractions?
2. What are the rules for combining like terms in algebraic expressions?
3. How do you solve equations involving distribution and combining terms?
4. How do you convert between fractions and decimals for easier calculations?
5. What is the process for solving equations involving multiple steps?

**Tip**: When solving algebraic equations, always simplify both sides as much as possible before isolating the variable.

Explore detailed solutions for exercises involving operations with fractions, decimals, and algebraic equations. This page provides step-by-step solutions and explanations suitable for students in Grades 7-9.

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