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Simplifying 15 + 3m + 3n = 42 Solving 15 + 3m + 3n = 42 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3m + -15 + 3n = 42 + -15 Reorder the terms: 15 + -15 + 3m + 3n = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 3m + 3n = 42 + -15 3m + 3n = 42 + -15 Combine like terms: 42 + -15 = 27 3m + 3n = 27 Add '-3n' to each side of the equation. 3m + 3n + -3n = 27 + -3n Combine like terms: 3n + -3n = 0 3m + 0 = 27 + -3n 3m = 27 + -3n Divide each side by '3'. m = 9 + -1n Simplifying m = 9 + -1n
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