The problem asks us to solve the equation $\frac{m}{4} + 6 = 14$ for the variable $m$.

AlgebraLinear EquationsSolving EquationsVariable Isolation
2025/3/16

1. Problem Description

The problem asks us to solve the equation m4+6=14\frac{m}{4} + 6 = 14 for the variable mm.

2. Solution Steps

We are given the equation
m4+6=14\frac{m}{4} + 6 = 14.
We want to isolate mm on one side of the equation. First, subtract 6 from both sides:
m4+66=146\frac{m}{4} + 6 - 6 = 14 - 6
m4=8\frac{m}{4} = 8
Next, we multiply both sides of the equation by 4 to isolate mm:
4×m4=4×84 \times \frac{m}{4} = 4 \times 8
m=32m = 32

3. Final Answer

The solution to the equation is m=32m = 32.