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Simplifying (6m + -1n) + (-3m + 3n) = 0 Remove parenthesis around (6m + -1n) 6m + -1n + (-3m + 3n) = 0 Remove parenthesis around (-3m + 3n) 6m + -1n + -3m + 3n = 0 Reorder the terms: 6m + -3m + -1n + 3n = 0 Combine like terms: 6m + -3m = 3m 3m + -1n + 3n = 0 Combine like terms: -1n + 3n = 2n 3m + 2n = 0 Solving 3m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 3m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 3m + 0 = 0 + -2n 3m = 0 + -2n Remove the zero: 3m = -2n Divide each side by '3'. m = -0.6666666667n Simplifying m = -0.6666666667n
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