https://file.aiquickdraw.com/mathbot/file/17285633570692ipn1ofp.jpg

Let’s solve the two equations shown in the image step by step.

### 3) \(\frac{m}{-3} + 10 = -1\)

#### Step 1: Isolate \(\frac{m}{-3}\)
Subtract 10 from both sides:
\[
\frac{m}{-3} = -1 - 10
\]
\[
\frac{m}{-3} = -11
\]

#### Step 2: Solve for \(m\)
Multiply both sides by \(-3\) to get rid of the fraction:
\[
m = -11 \times (-3)
\]
\[
m = 33
\]

### 4) \(3x - 2 = 2(x + 5)\)

#### Step 1: Expand the right-hand side
Distribute the 2 across \((x + 5)\):
\[
3x - 2 = 2x + 10
\]

#### Step 2: Isolate \(x\)
Subtract \(2x\) from both sides:
\[
x - 2 = 10
\]

#### Step 3: Solve for \(x\)
Add 2 to both sides:
\[
x = 10 + 2
\]
\[
x = 12
\]

### Summary of solutions:
- For equation (3), \(m = 33\).
- For equation (4), \(x = 12\).

Would you like further clarification on any of the steps?

Here are five related questions to consider:
1. How do you handle equations with variables in both the numerator and the denominator?
2. How do you check if your solution to a linear equation is correct?
3. What are some methods for solving equations involving fractions?
4. How can distributive property be used to simplify expressions?
5. What steps can you take when variables appear on both sides of the equation?

**Tip:** When solving equations, always work to isolate the variable on one side of the equation using inverse operations.

Solve the following equations: 1) m/-3 + 10 = -1 2) 3x - 2 = 2(x + 5)

This page offers a step-by-step solution to two linear equations: m/-3 + 10 = -1 and 3x - 2 = 2(x + 5). Learn how to isolate variables, use inverse operations, and apply the distributive property. Suitable for students in Grades 8-10.

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