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10) -5 + 3(5 + 7m) = 36 + 8m

Question

  1. -5 + 3(5 + 7m) = 36 + 8m

Explanation:

Step1: Expand the left-hand side

$-5 + 3\times5 + 3\times7m = 36 + 8m$
$-5 + 15 + 21m = 36 + 8m$

Step2: Simplify constants on left

$10 + 21m = 36 + 8m$

Step3: Isolate terms with $m$

$21m - 8m = 36 - 10$

Step4: Calculate both sides

$13m = 26$

Step5: Solve for $m$

$m = \frac{26}{13}$

Answer:

$m = 2$