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Simplifying -4(3 + -6m) = 9(2m + -2) (3 * -4 + -6m * -4) = 9(2m + -2) (-12 + 24m) = 9(2m + -2) Reorder the terms: -12 + 24m = 9(-2 + 2m) -12 + 24m = (-2 * 9 + 2m * 9) -12 + 24m = (-18 + 18m) Solving -12 + 24m = -18 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. -12 + 24m + -18m = -18 + 18m + -18m Combine like terms: 24m + -18m = 6m -12 + 6m = -18 + 18m + -18m Combine like terms: 18m + -18m = 0 -12 + 6m = -18 + 0 -12 + 6m = -18 Add '12' to each side of the equation. -12 + 12 + 6m = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 6m = -18 + 12 6m = -18 + 12 Combine like terms: -18 + 12 = -6 6m = -6 Divide each side by '6'. m = -1 Simplifying m = -1
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