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Simplifying 3(m + n) + 3 = 15 (m * 3 + n * 3) + 3 = 15 (3m + 3n) + 3 = 15 Reorder the terms: 3 + 3m + 3n = 15 Solving 3 + 3m + 3n = 15 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3m + -3 + 3n = 15 + -3 Reorder the terms: 3 + -3 + 3m + 3n = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3m + 3n = 15 + -3 3m + 3n = 15 + -3 Combine like terms: 15 + -3 = 12 3m + 3n = 12 Add '-3n' to each side of the equation. 3m + 3n + -3n = 12 + -3n Combine like terms: 3n + -3n = 0 3m + 0 = 12 + -3n 3m = 12 + -3n Divide each side by '3'. m = 4 + -1n Simplifying m = 4 + -1n
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