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