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Simplifying 12 + -1(m + -2) = 2m + 3m + -2m + 3(5 + -3m) Reorder the terms: 12 + -1(-2 + m) = 2m + 3m + -2m + 3(5 + -3m) 12 + (-2 * -1 + m * -1) = 2m + 3m + -2m + 3(5 + -3m) 12 + (2 + -1m) = 2m + 3m + -2m + 3(5 + -3m) Combine like terms: 12 + 2 = 14 14 + -1m = 2m + 3m + -2m + 3(5 + -3m) 14 + -1m = 2m + 3m + -2m + (5 * 3 + -3m * 3) 14 + -1m = 2m + 3m + -2m + (15 + -9m) Reorder the terms: 14 + -1m = 15 + 2m + 3m + -2m + -9m Combine like terms: 2m + 3m = 5m 14 + -1m = 15 + 5m + -2m + -9m Combine like terms: 5m + -2m = 3m 14 + -1m = 15 + 3m + -9m Combine like terms: 3m + -9m = -6m 14 + -1m = 15 + -6m Solving 14 + -1m = 15 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 14 + -1m + 6m = 15 + -6m + 6m Combine like terms: -1m + 6m = 5m 14 + 5m = 15 + -6m + 6m Combine like terms: -6m + 6m = 0 14 + 5m = 15 + 0 14 + 5m = 15 Add '-14' to each side of the equation. 14 + -14 + 5m = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 5m = 15 + -14 5m = 15 + -14 Combine like terms: 15 + -14 = 1 5m = 1 Divide each side by '5'. m = 0.2 Simplifying m = 0.2
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