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Simplifying 3(m + 5) = 40 + 8m Reorder the terms: 3(5 + m) = 40 + 8m (5 * 3 + m * 3) = 40 + 8m (15 + 3m) = 40 + 8m Solving 15 + 3m = 40 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 15 + 3m + -8m = 40 + 8m + -8m Combine like terms: 3m + -8m = -5m 15 + -5m = 40 + 8m + -8m Combine like terms: 8m + -8m = 0 15 + -5m = 40 + 0 15 + -5m = 40 Add '-15' to each side of the equation. 15 + -15 + -5m = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -5m = 40 + -15 -5m = 40 + -15 Combine like terms: 40 + -15 = 25 -5m = 25 Divide each side by '-5'. m = -5 Simplifying m = -5
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