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Simplifying (5m + 2n) + (n + -3m) + (7 + -3n) = 0 Remove parenthesis around (5m + 2n) 5m + 2n + (n + -3m) + (7 + -3n) = 0 Reorder the terms: 5m + 2n + (-3m + n) + (7 + -3n) = 0 Remove parenthesis around (-3m + n) 5m + 2n + -3m + n + (7 + -3n) = 0 Remove parenthesis around (7 + -3n) 5m + 2n + -3m + n + 7 + -3n = 0 Reorder the terms: 7 + 5m + -3m + 2n + n + -3n = 0 Combine like terms: 5m + -3m = 2m 7 + 2m + 2n + n + -3n = 0 Combine like terms: 2n + n = 3n 7 + 2m + 3n + -3n = 0 Combine like terms: 3n + -3n = 0 7 + 2m + 0 = 0 7 + 2m = 0 Solving 7 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 0 + -7 2m = 0 + -7 Combine like terms: 0 + -7 = -7 2m = -7 Divide each side by '2'. m = -3.5 Simplifying m = -3.5
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