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Simplifying 8(m + 2) = 5(m + 5) Reorder the terms: 8(2 + m) = 5(m + 5) (2 * 8 + m * 8) = 5(m + 5) (16 + 8m) = 5(m + 5) Reorder the terms: 16 + 8m = 5(5 + m) 16 + 8m = (5 * 5 + m * 5) 16 + 8m = (25 + 5m) Solving 16 + 8m = 25 + 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. 16 + 8m + -5m = 25 + 5m + -5m Combine like terms: 8m + -5m = 3m 16 + 3m = 25 + 5m + -5m Combine like terms: 5m + -5m = 0 16 + 3m = 25 + 0 16 + 3m = 25 Add '-16' to each side of the equation. 16 + -16 + 3m = 25 + -16 Combine like terms: 16 + -16 = 0 0 + 3m = 25 + -16 3m = 25 + -16 Combine like terms: 25 + -16 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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