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Simplifying -2(2m + -3) + 5(m + 7) = 40 Reorder the terms: -2(-3 + 2m) + 5(m + 7) = 40 (-3 * -2 + 2m * -2) + 5(m + 7) = 40 (6 + -4m) + 5(m + 7) = 40 Reorder the terms: 6 + -4m + 5(7 + m) = 40 6 + -4m + (7 * 5 + m * 5) = 40 6 + -4m + (35 + 5m) = 40 Reorder the terms: 6 + 35 + -4m + 5m = 40 Combine like terms: 6 + 35 = 41 41 + -4m + 5m = 40 Combine like terms: -4m + 5m = 1m 41 + 1m = 40 Solving 41 + 1m = 40 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 1m = 40 + -41 Combine like terms: 41 + -41 = 0 0 + 1m = 40 + -41 1m = 40 + -41 Combine like terms: 40 + -41 = -1 1m = -1 Divide each side by '1'. m = -1 Simplifying m = -1
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