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Simplifying 7m + 3n + -3m + 10n = 0 Reorder the terms: 7m + -3m + 3n + 10n = 0 Combine like terms: 7m + -3m = 4m 4m + 3n + 10n = 0 Combine like terms: 3n + 10n = 13n 4m + 13n = 0 Solving 4m + 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. 4m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 4m + 0 = 0 + -13n 4m = 0 + -13n Remove the zero: 4m = -13n Divide each side by '4'. m = -3.25n Simplifying m = -3.25n
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