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Simplifying 5m + 7 = 3(m + 5) Reorder the terms: 7 + 5m = 3(m + 5) Reorder the terms: 7 + 5m = 3(5 + m) 7 + 5m = (5 * 3 + m * 3) 7 + 5m = (15 + 3m) Solving 7 + 5m = 15 + 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. 7 + 5m + -3m = 15 + 3m + -3m Combine like terms: 5m + -3m = 2m 7 + 2m = 15 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + 2m = 15 + 0 7 + 2m = 15 Add '-7' to each side of the equation. 7 + -7 + 2m = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 15 + -7 2m = 15 + -7 Combine like terms: 15 + -7 = 8 2m = 8 Divide each side by '2'. m = 4 Simplifying m = 4
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