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Simplifying -12(m + -6) = -8(1 + 2m) Reorder the terms: -12(-6 + m) = -8(1 + 2m) (-6 * -12 + m * -12) = -8(1 + 2m) (72 + -12m) = -8(1 + 2m) 72 + -12m = (1 * -8 + 2m * -8) 72 + -12m = (-8 + -16m) Solving 72 + -12m = -8 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 72 + -12m + 16m = -8 + -16m + 16m Combine like terms: -12m + 16m = 4m 72 + 4m = -8 + -16m + 16m Combine like terms: -16m + 16m = 0 72 + 4m = -8 + 0 72 + 4m = -8 Add '-72' to each side of the equation. 72 + -72 + 4m = -8 + -72 Combine like terms: 72 + -72 = 0 0 + 4m = -8 + -72 4m = -8 + -72 Combine like terms: -8 + -72 = -80 4m = -80 Divide each side by '4'. m = -20 Simplifying m = -20
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