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Simplifying 12m + 5n + -3m + 10n = 0 Reorder the terms: 12m + -3m + 5n + 10n = 0 Combine like terms: 12m + -3m = 9m 9m + 5n + 10n = 0 Combine like terms: 5n + 10n = 15n 9m + 15n = 0 Solving 9m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15n' to each side of the equation. 9m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 9m + 0 = 0 + -15n 9m = 0 + -15n Remove the zero: 9m = -15n Divide each side by '9'. m = -1.666666667n Simplifying m = -1.666666667n
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