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Simplifying 2(2 + 4m) = -4(2 + 3m) + -68 (2 * 2 + 4m * 2) = -4(2 + 3m) + -68 (4 + 8m) = -4(2 + 3m) + -68 4 + 8m = (2 * -4 + 3m * -4) + -68 4 + 8m = (-8 + -12m) + -68 Reorder the terms: 4 + 8m = -8 + -68 + -12m Combine like terms: -8 + -68 = -76 4 + 8m = -76 + -12m Solving 4 + 8m = -76 + -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. 4 + 8m + 12m = -76 + -12m + 12m Combine like terms: 8m + 12m = 20m 4 + 20m = -76 + -12m + 12m Combine like terms: -12m + 12m = 0 4 + 20m = -76 + 0 4 + 20m = -76 Add '-4' to each side of the equation. 4 + -4 + 20m = -76 + -4 Combine like terms: 4 + -4 = 0 0 + 20m = -76 + -4 20m = -76 + -4 Combine like terms: -76 + -4 = -80 20m = -80 Divide each side by '20'. m = -4 Simplifying m = -4
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