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Simplifying -12m + 2(8m + -9) = -6(1 + -1m) Reorder the terms: -12m + 2(-9 + 8m) = -6(1 + -1m) -12m + (-9 * 2 + 8m * 2) = -6(1 + -1m) -12m + (-18 + 16m) = -6(1 + -1m) Reorder the terms: -18 + -12m + 16m = -6(1 + -1m) Combine like terms: -12m + 16m = 4m -18 + 4m = -6(1 + -1m) -18 + 4m = (1 * -6 + -1m * -6) -18 + 4m = (-6 + 6m) Solving -18 + 4m = -6 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -18 + 4m + -6m = -6 + 6m + -6m Combine like terms: 4m + -6m = -2m -18 + -2m = -6 + 6m + -6m Combine like terms: 6m + -6m = 0 -18 + -2m = -6 + 0 -18 + -2m = -6 Add '18' to each side of the equation. -18 + 18 + -2m = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -2m = -6 + 18 -2m = -6 + 18 Combine like terms: -6 + 18 = 12 -2m = 12 Divide each side by '-2'. m = -6 Simplifying m = -6
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