Question

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

Explanation:

Step1: Eliminate denominators

Multiply both sides by 9 to eliminate denominators:
$$9\times\frac{1}{9}(2m - 16)=9\times\frac{1}{3}(2m + 4)$$
Simplify:
$$2m - 16 = 3(2m + 4)$$

Step2: Expand the right side

Expand \(3(2m + 4)\):
$$2m - 16 = 6m + 12$$

Step3: Move terms with m to one side

Subtract \(2m\) from both sides:
$$-16 = 4m + 12$$

Step4: Solve for m

Subtract 12 from both sides:
$$-28 = 4m$$
Divide by 4:
$$m = -7$$

Answer:

\(m = -7\)