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Simplifying 3(m + 4) + -2(m + -1) = 13 Reorder the terms: 3(4 + m) + -2(m + -1) = 13 (4 * 3 + m * 3) + -2(m + -1) = 13 (12 + 3m) + -2(m + -1) = 13 Reorder the terms: 12 + 3m + -2(-1 + m) = 13 12 + 3m + (-1 * -2 + m * -2) = 13 12 + 3m + (2 + -2m) = 13 Reorder the terms: 12 + 2 + 3m + -2m = 13 Combine like terms: 12 + 2 = 14 14 + 3m + -2m = 13 Combine like terms: 3m + -2m = 1m 14 + 1m = 13 Solving 14 + 1m = 13 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1m = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 1m = 13 + -14 1m = 13 + -14 Combine like terms: 13 + -14 = -1 1m = -1 Divide each side by '1'. m = -1 Simplifying m = -1
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