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Simplifying 5(m + 4) = 3(m + 10) Reorder the terms: 5(4 + m) = 3(m + 10) (4 * 5 + m * 5) = 3(m + 10) (20 + 5m) = 3(m + 10) Reorder the terms: 20 + 5m = 3(10 + m) 20 + 5m = (10 * 3 + m * 3) 20 + 5m = (30 + 3m) Solving 20 + 5m = 30 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 20 + 5m + -3m = 30 + 3m + -3m Combine like terms: 5m + -3m = 2m 20 + 2m = 30 + 3m + -3m Combine like terms: 3m + -3m = 0 20 + 2m = 30 + 0 20 + 2m = 30 Add '-20' to each side of the equation. 20 + -20 + 2m = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 2m = 30 + -20 2m = 30 + -20 Combine like terms: 30 + -20 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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