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Simplifying 2(m + 3) + -5(m + -4) = 41 Reorder the terms: 2(3 + m) + -5(m + -4) = 41 (3 * 2 + m * 2) + -5(m + -4) = 41 (6 + 2m) + -5(m + -4) = 41 Reorder the terms: 6 + 2m + -5(-4 + m) = 41 6 + 2m + (-4 * -5 + m * -5) = 41 6 + 2m + (20 + -5m) = 41 Reorder the terms: 6 + 20 + 2m + -5m = 41 Combine like terms: 6 + 20 = 26 26 + 2m + -5m = 41 Combine like terms: 2m + -5m = -3m 26 + -3m = 41 Solving 26 + -3m = 41 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3m = 41 + -26 Combine like terms: 26 + -26 = 0 0 + -3m = 41 + -26 -3m = 41 + -26 Combine like terms: 41 + -26 = 15 -3m = 15 Divide each side by '-3'. m = -5 Simplifying m = -5
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