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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 = -28m 72 + -28m = 8 + 16m + -16m Combine like terms: 16m + -16m = 0 72 + -28m = 8 + 0 72 + -28m = 8 Add '-72' to each side of the equation. 72 + -72 + -28m = 8 + -72 Combine like terms: 72 + -72 = 0 0 + -28m = 8 + -72 -28m = 8 + -72 Combine like terms: 8 + -72 = -64 -28m = -64 Divide each side by '-28'. m = 2.285714286 Simplifying m = 2.285714286
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