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12. -5 + 7m - 20 = 20 - 2m

Question

  1. -5 + 7m - 20 = 20 - 2m

Explanation:

Step1: Combine like terms on left

$-5 - 20 + 7m = -25 + 7m$

Step2: Add \(2m\) to both sides

$-25 + 7m + 2m = 20 - 2m + 2m$
$-25 + 9m = 20$

Step3: Add 25 to both sides

$-25 + 25 + 9m = 20 + 25$
$9m = 45$

Step4: Divide by 9

$\frac{9m}{9} = \frac{45}{9}$
$m = 5$

Answer:

\(m = 5\)