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Simplifying 5(m + 7) + -2(3m + -4) = 45 Reorder the terms: 5(7 + m) + -2(3m + -4) = 45 (7 * 5 + m * 5) + -2(3m + -4) = 45 (35 + 5m) + -2(3m + -4) = 45 Reorder the terms: 35 + 5m + -2(-4 + 3m) = 45 35 + 5m + (-4 * -2 + 3m * -2) = 45 35 + 5m + (8 + -6m) = 45 Reorder the terms: 35 + 8 + 5m + -6m = 45 Combine like terms: 35 + 8 = 43 43 + 5m + -6m = 45 Combine like terms: 5m + -6m = -1m 43 + -1m = 45 Solving 43 + -1m = 45 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -1m = 45 + -43 Combine like terms: 43 + -43 = 0 0 + -1m = 45 + -43 -1m = 45 + -43 Combine like terms: 45 + -43 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2
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