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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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