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Simplifying 7m + 9 = 5(m + 3) Reorder the terms: 9 + 7m = 5(m + 3) Reorder the terms: 9 + 7m = 5(3 + m) 9 + 7m = (3 * 5 + m * 5) 9 + 7m = (15 + 5m) Solving 9 + 7m = 15 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 9 + 7m + -5m = 15 + 5m + -5m Combine like terms: 7m + -5m = 2m 9 + 2m = 15 + 5m + -5m Combine like terms: 5m + -5m = 0 9 + 2m = 15 + 0 9 + 2m = 15 Add '-9' to each side of the equation. 9 + -9 + 2m = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = 15 + -9 2m = 15 + -9 Combine like terms: 15 + -9 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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