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Simplifying -7(-2m + -5) = 12m + -17 Reorder the terms: -7(-5 + -2m) = 12m + -17 (-5 * -7 + -2m * -7) = 12m + -17 (35 + 14m) = 12m + -17 Reorder the terms: 35 + 14m = -17 + 12m Solving 35 + 14m = -17 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 35 + 14m + -12m = -17 + 12m + -12m Combine like terms: 14m + -12m = 2m 35 + 2m = -17 + 12m + -12m Combine like terms: 12m + -12m = 0 35 + 2m = -17 + 0 35 + 2m = -17 Add '-35' to each side of the equation. 35 + -35 + 2m = -17 + -35 Combine like terms: 35 + -35 = 0 0 + 2m = -17 + -35 2m = -17 + -35 Combine like terms: -17 + -35 = -52 2m = -52 Divide each side by '2'. m = -26 Simplifying m = -26
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