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Simplifying 3(m + 3) = 2(m + 5) Reorder the terms: 3(3 + m) = 2(m + 5) (3 * 3 + m * 3) = 2(m + 5) (9 + 3m) = 2(m + 5) Reorder the terms: 9 + 3m = 2(5 + m) 9 + 3m = (5 * 2 + m * 2) 9 + 3m = (10 + 2m) Solving 9 + 3m = 10 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 9 + 3m + -2m = 10 + 2m + -2m Combine like terms: 3m + -2m = 1m 9 + 1m = 10 + 2m + -2m Combine like terms: 2m + -2m = 0 9 + 1m = 10 + 0 9 + 1m = 10 Add '-9' to each side of the equation. 9 + -9 + 1m = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 1m = 10 + -9 1m = 10 + -9 Combine like terms: 10 + -9 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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