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Simplifying -4(3m + 4) = 2(6m + 8) Reorder the terms: -4(4 + 3m) = 2(6m + 8) (4 * -4 + 3m * -4) = 2(6m + 8) (-16 + -12m) = 2(6m + 8) Reorder the terms: -16 + -12m = 2(8 + 6m) -16 + -12m = (8 * 2 + 6m * 2) -16 + -12m = (16 + 12m) Solving -16 + -12m = 16 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -16 + -12m + -12m = 16 + 12m + -12m Combine like terms: -12m + -12m = -24m -16 + -24m = 16 + 12m + -12m Combine like terms: 12m + -12m = 0 -16 + -24m = 16 + 0 -16 + -24m = 16 Add '16' to each side of the equation. -16 + 16 + -24m = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -24m = 16 + 16 -24m = 16 + 16 Combine like terms: 16 + 16 = 32 -24m = 32 Divide each side by '-24'. m = -1.333333333 Simplifying m = -1.333333333
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