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Simplifying (6m + n) + (-3m + 3n) = 0 Remove parenthesis around (6m + n) 6m + n + (-3m + 3n) = 0 Remove parenthesis around (-3m + 3n) 6m + n + -3m + 3n = 0 Reorder the terms: 6m + -3m + n + 3n = 0 Combine like terms: 6m + -3m = 3m 3m + n + 3n = 0 Combine like terms: n + 3n = 4n 3m + 4n = 0 Solving 3m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 3m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 3m + 0 = 0 + -4n 3m = 0 + -4n Remove the zero: 3m = -4n Divide each side by '3'. m = -1.333333333n Simplifying m = -1.333333333n
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