Question

1. 2(4m - 3) = 8m - 6m
2. ½x - 7 = 18

Explanation:

Problem 3:

Step1: Expand left-hand side

$2(4m-3) = 8m - 6$

Step2: Simplify right-hand side

$8m - 6m = 2m$

Step3: Rearrange terms to solve for $m$

$8m - 6 = 2m \\
8m - 2m = 6 \\
6m = 6$

Step4: Isolate $m$

$m = \frac{6}{6} = 1$

Problem 4:

Step1: Add 7 to both sides

$\frac{1}{2}x - 7 + 7 = 18 + 7 \\
\frac{1}{2}x = 25$

Step2: Multiply by 2 to solve for $x$

$x = 25 \times 2 = 50$

Answer:

Problem 3: $m = 1$
Problem 4: $x = 50$