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Simplifying 12 + -3(3m + -2) = 8 + -2(4m + 2) Reorder the terms: 12 + -3(-2 + 3m) = 8 + -2(4m + 2) 12 + (-2 * -3 + 3m * -3) = 8 + -2(4m + 2) 12 + (6 + -9m) = 8 + -2(4m + 2) Combine like terms: 12 + 6 = 18 18 + -9m = 8 + -2(4m + 2) Reorder the terms: 18 + -9m = 8 + -2(2 + 4m) 18 + -9m = 8 + (2 * -2 + 4m * -2) 18 + -9m = 8 + (-4 + -8m) Combine like terms: 8 + -4 = 4 18 + -9m = 4 + -8m Solving 18 + -9m = 4 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 18 + -9m + 8m = 4 + -8m + 8m Combine like terms: -9m + 8m = -1m 18 + -1m = 4 + -8m + 8m Combine like terms: -8m + 8m = 0 18 + -1m = 4 + 0 18 + -1m = 4 Add '-18' to each side of the equation. 18 + -18 + -1m = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -1m = 4 + -18 -1m = 4 + -18 Combine like terms: 4 + -18 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14
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