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Simplifying 3(m + 5) = m + 17 Reorder the terms: 3(5 + m) = m + 17 (5 * 3 + m * 3) = m + 17 (15 + 3m) = m + 17 Reorder the terms: 15 + 3m = 17 + m Solving 15 + 3m = 17 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 15 + 3m + -1m = 17 + m + -1m Combine like terms: 3m + -1m = 2m 15 + 2m = 17 + m + -1m Combine like terms: m + -1m = 0 15 + 2m = 17 + 0 15 + 2m = 17 Add '-15' to each side of the equation. 15 + -15 + 2m = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 2m = 17 + -15 2m = 17 + -15 Combine like terms: 17 + -15 = 2 2m = 2 Divide each side by '2'. m = 1 Simplifying m = 1
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