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Simplifying -2(m + 8) = -3(17 + -1m) Reorder the terms: -2(8 + m) = -3(17 + -1m) (8 * -2 + m * -2) = -3(17 + -1m) (-16 + -2m) = -3(17 + -1m) -16 + -2m = (17 * -3 + -1m * -3) -16 + -2m = (-51 + 3m) Solving -16 + -2m = -51 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -16 + -2m + -3m = -51 + 3m + -3m Combine like terms: -2m + -3m = -5m -16 + -5m = -51 + 3m + -3m Combine like terms: 3m + -3m = 0 -16 + -5m = -51 + 0 -16 + -5m = -51 Add '16' to each side of the equation. -16 + 16 + -5m = -51 + 16 Combine like terms: -16 + 16 = 0 0 + -5m = -51 + 16 -5m = -51 + 16 Combine like terms: -51 + 16 = -35 -5m = -35 Divide each side by '-5'. m = 7 Simplifying m = 7
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