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Simplifying 12m + 3n + -5m + 10n = 0 Reorder the terms: 12m + -5m + 3n + 10n = 0 Combine like terms: 12m + -5m = 7m 7m + 3n + 10n = 0 Combine like terms: 3n + 10n = 13n 7m + 13n = 0 Solving 7m + 13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13n' to each side of the equation. 7m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 7m + 0 = 0 + -13n 7m = 0 + -13n Remove the zero: 7m = -13n Divide each side by '7'. m = -1.857142857n Simplifying m = -1.857142857n
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