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Simplifying -5(-2m + -9) = 8m + -7 Reorder the terms: -5(-9 + -2m) = 8m + -7 (-9 * -5 + -2m * -5) = 8m + -7 (45 + 10m) = 8m + -7 Reorder the terms: 45 + 10m = -7 + 8m Solving 45 + 10m = -7 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 45 + 10m + -8m = -7 + 8m + -8m Combine like terms: 10m + -8m = 2m 45 + 2m = -7 + 8m + -8m Combine like terms: 8m + -8m = 0 45 + 2m = -7 + 0 45 + 2m = -7 Add '-45' to each side of the equation. 45 + -45 + 2m = -7 + -45 Combine like terms: 45 + -45 = 0 0 + 2m = -7 + -45 2m = -7 + -45 Combine like terms: -7 + -45 = -52 2m = -52 Divide each side by '2'. m = -26 Simplifying m = -26
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