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Simplifying 96 = 4(3m + -6) + 8m Reorder the terms: 96 = 4(-6 + 3m) + 8m 96 = (-6 * 4 + 3m * 4) + 8m 96 = (-24 + 12m) + 8m Combine like terms: 12m + 8m = 20m 96 = -24 + 20m Solving 96 = -24 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 96 + -20m = -24 + 20m + -20m Combine like terms: 20m + -20m = 0 96 + -20m = -24 + 0 96 + -20m = -24 Add '-96' to each side of the equation. 96 + -96 + -20m = -24 + -96 Combine like terms: 96 + -96 = 0 0 + -20m = -24 + -96 -20m = -24 + -96 Combine like terms: -24 + -96 = -120 -20m = -120 Divide each side by '-20'. m = 6 Simplifying m = 6
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