Let's solve the equation step by step:

Given equation:
\[
8(7m - 2) + 5m = 8m + 37
\]

### Step 1: Distribute the 8 on the left side
\[
8 \times 7m - 8 \times 2 + 5m = 8m + 37
\]
\[
56m - 16 + 5m = 8m + 37
\]

### Step 2: Combine like terms on the left side
\[
(56m + 5m) - 16 = 8m + 37
\]
\[
61m - 16 = 8m + 37
\]

### Step 3: Move the terms with \( m \) to one side and constants to the other
\[
61m - 8m = 37 + 16
\]
\[
53m = 53
\]

### Step 4: Solve for \( m \)
\[
m = \frac{53}{53} = 1
\]

Thus, the solution is:
\[
m = 1
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you handle equations with variables on both sides?
2. Can you explain the distributive property in detail?
3. What if there are fractions involved in the equation?
4. How do you check if your solution to an equation is correct?
5. What changes if there are multiple variables in the equation?

**Tip:** Always combine like terms before moving variables to one side to simplify the equation.

Learn how to solve the linear equation 8(7m - 2) + 5m = 8m + 37 with a detailed step-by-step guide. This problem demonstrates the use of the distributive property and combining like terms, suitable for students in Grades 7-8.

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