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Simplifying 4(2m + 5) = 5(m + 5) Reorder the terms: 4(5 + 2m) = 5(m + 5) (5 * 4 + 2m * 4) = 5(m + 5) (20 + 8m) = 5(m + 5) Reorder the terms: 20 + 8m = 5(5 + m) 20 + 8m = (5 * 5 + m * 5) 20 + 8m = (25 + 5m) Solving 20 + 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. 20 + 8m + -5m = 25 + 5m + -5m Combine like terms: 8m + -5m = 3m 20 + 3m = 25 + 5m + -5m Combine like terms: 5m + -5m = 0 20 + 3m = 25 + 0 20 + 3m = 25 Add '-20' to each side of the equation. 20 + -20 + 3m = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 3m = 25 + -20 3m = 25 + -20 Combine like terms: 25 + -20 = 5 3m = 5 Divide each side by '3'. m = 1.666666667 Simplifying m = 1.666666667
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