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Simplifying 3(2m + -4) = 2(10 + -1m) Reorder the terms: 3(-4 + 2m) = 2(10 + -1m) (-4 * 3 + 2m * 3) = 2(10 + -1m) (-12 + 6m) = 2(10 + -1m) -12 + 6m = (10 * 2 + -1m * 2) -12 + 6m = (20 + -2m) Solving -12 + 6m = 20 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -12 + 6m + 2m = 20 + -2m + 2m Combine like terms: 6m + 2m = 8m -12 + 8m = 20 + -2m + 2m Combine like terms: -2m + 2m = 0 -12 + 8m = 20 + 0 -12 + 8m = 20 Add '12' to each side of the equation. -12 + 12 + 8m = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 8m = 20 + 12 8m = 20 + 12 Combine like terms: 20 + 12 = 32 8m = 32 Divide each side by '8'. m = 4 Simplifying m = 4
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