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Simplifying -5(m + -3) + 2(3m + 1) = 15 + -8 Reorder the terms: -5(-3 + m) + 2(3m + 1) = 15 + -8 (-3 * -5 + m * -5) + 2(3m + 1) = 15 + -8 (15 + -5m) + 2(3m + 1) = 15 + -8 Reorder the terms: 15 + -5m + 2(1 + 3m) = 15 + -8 15 + -5m + (1 * 2 + 3m * 2) = 15 + -8 15 + -5m + (2 + 6m) = 15 + -8 Reorder the terms: 15 + 2 + -5m + 6m = 15 + -8 Combine like terms: 15 + 2 = 17 17 + -5m + 6m = 15 + -8 Combine like terms: -5m + 6m = 1m 17 + 1m = 15 + -8 Combine like terms: 15 + -8 = 7 17 + 1m = 7 Solving 17 + 1m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1m = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 1m = 7 + -17 1m = 7 + -17 Combine like terms: 7 + -17 = -10 1m = -10 Divide each side by '1'. m = -10 Simplifying m = -10
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