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Simplifying 15 + 2(m + 5) = 5(m + 2) Reorder the terms: 15 + 2(5 + m) = 5(m + 2) 15 + (5 * 2 + m * 2) = 5(m + 2) 15 + (10 + 2m) = 5(m + 2) Combine like terms: 15 + 10 = 25 25 + 2m = 5(m + 2) Reorder the terms: 25 + 2m = 5(2 + m) 25 + 2m = (2 * 5 + m * 5) 25 + 2m = (10 + 5m) Solving 25 + 2m = 10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 25 + 2m + -5m = 10 + 5m + -5m Combine like terms: 2m + -5m = -3m 25 + -3m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 25 + -3m = 10 + 0 25 + -3m = 10 Add '-25' to each side of the equation. 25 + -25 + -3m = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -3m = 10 + -25 -3m = 10 + -25 Combine like terms: 10 + -25 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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