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Simplifying 5(m + 3) + 2 = m + 5 Reorder the terms: 5(3 + m) + 2 = m + 5 (3 * 5 + m * 5) + 2 = m + 5 (15 + 5m) + 2 = m + 5 Reorder the terms: 15 + 2 + 5m = m + 5 Combine like terms: 15 + 2 = 17 17 + 5m = m + 5 Reorder the terms: 17 + 5m = 5 + m Solving 17 + 5m = 5 + 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. 17 + 5m + -1m = 5 + m + -1m Combine like terms: 5m + -1m = 4m 17 + 4m = 5 + m + -1m Combine like terms: m + -1m = 0 17 + 4m = 5 + 0 17 + 4m = 5 Add '-17' to each side of the equation. 17 + -17 + 4m = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 4m = 5 + -17 4m = 5 + -17 Combine like terms: 5 + -17 = -12 4m = -12 Divide each side by '4'. m = -3 Simplifying m = -3
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