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Simplifying 2(6m + 1) = 2(-9 + 4m) + -3m Reorder the terms: 2(1 + 6m) = 2(-9 + 4m) + -3m (1 * 2 + 6m * 2) = 2(-9 + 4m) + -3m (2 + 12m) = 2(-9 + 4m) + -3m 2 + 12m = (-9 * 2 + 4m * 2) + -3m 2 + 12m = (-18 + 8m) + -3m Combine like terms: 8m + -3m = 5m 2 + 12m = -18 + 5m Solving 2 + 12m = -18 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 2 + 12m + -5m = -18 + 5m + -5m Combine like terms: 12m + -5m = 7m 2 + 7m = -18 + 5m + -5m Combine like terms: 5m + -5m = 0 2 + 7m = -18 + 0 2 + 7m = -18 Add '-2' to each side of the equation. 2 + -2 + 7m = -18 + -2 Combine like terms: 2 + -2 = 0 0 + 7m = -18 + -2 7m = -18 + -2 Combine like terms: -18 + -2 = -20 7m = -20 Divide each side by '7'. m = -2.857142857 Simplifying m = -2.857142857
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