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Simplifying 3m + n + -9m + 3n = 0 Reorder the terms: 3m + -9m + n + 3n = 0 Combine like terms: 3m + -9m = -6m -6m + n + 3n = 0 Combine like terms: n + 3n = 4n -6m + 4n = 0 Solving -6m + 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. -6m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 -6m + 0 = 0 + -4n -6m = 0 + -4n Remove the zero: -6m = -4n Divide each side by '-6'. m = 0.6666666667n Simplifying m = 0.6666666667n
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