https://file.aiquickdraw.com/mathbot/file/1727357710425cm13yygi.jpg

The equation extracted from the image is:

\[
14m - 10 = 3(4 + m)
\]

Now, let's solve it for \( m \).

### Step 1: Expand the right-hand side of the equation.
\[
14m - 10 = 12 + 3m
\]

### Step 2: Move all terms with \( m \) to one side.
\[
14m - 3m = 12 + 10
\]
\[
11m = 22
\]

### Step 3: Solve for \( m \).
\[
m = \frac{22}{11} = 2
\]

Thus, the solution is \( m = 2 \).

Do you want more details or have any questions? Here are 5 related problems you could explore:

1. What if the equation was \( 14m - 10 = 3(5 + m) \)?
2. Solve \( 7m - 15 = 2(m + 4) \).
3. What happens if you add a constant to both sides of the equation?
4. How do you solve \( 14m - 10 = 4(4 + m) \)?
5. What are the steps to isolate \( m \) in different types of linear equations?

**Tip:** Always expand and simplify both sides of an equation before attempting to isolate the variable.

Find m in the equation 14m - 10 = 3(4 + m).

Learn how to solve the linear equation 14m - 10 = 3(4 + m) with a step-by-step solution. This problem covers key algebraic concepts, including solving for a variable using the distributive property. Suitable for students in Grades 8-10.

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