Question

daily math review - unit 2 review\\
\\(\frac{1}{9}(2m - 16) = \frac{1}{3}(2m + 4)\\) \\(m = \\)\\
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Explanation:

Step1: Eliminate denominators

Multiply both sides by 9 (LCM of 9 and 3) to get rid of fractions:
$9\times\frac{1}{9}(2m - 16)=9\times\frac{1}{3}(2m + 4)$
Simplify: $2m - 16 = 3(2m + 4)$

Step2: Expand the right side

Distribute 3 on the right:
$2m - 16 = 6m + 12$

Step3: Move variable terms to left

Subtract $6m$ from both sides:
$2m - 6m - 16 = 12$
Simplify: $-4m - 16 = 12$

Step4: Isolate the variable term

Add 16 to both sides:
$-4m = 12 + 16$
Simplify: $-4m = 28$

Step5: Solve for \( m \)

Divide both sides by -4:
$m = \frac{28}{-4}$
Simplify: $m = -7$

Answer:

\( m = -7 \)