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Simplifying 2(m + 7) + -1(m + -3) = 8 Reorder the terms: 2(7 + m) + -1(m + -3) = 8 (7 * 2 + m * 2) + -1(m + -3) = 8 (14 + 2m) + -1(m + -3) = 8 Reorder the terms: 14 + 2m + -1(-3 + m) = 8 14 + 2m + (-3 * -1 + m * -1) = 8 14 + 2m + (3 + -1m) = 8 Reorder the terms: 14 + 3 + 2m + -1m = 8 Combine like terms: 14 + 3 = 17 17 + 2m + -1m = 8 Combine like terms: 2m + -1m = 1m 17 + 1m = 8 Solving 17 + 1m = 8 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 = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 1m = 8 + -17 1m = 8 + -17 Combine like terms: 8 + -17 = -9 1m = -9 Divide each side by '1'. m = -9 Simplifying m = -9
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