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Simplifying 5m + 5n + -2m + 10n = 0 Reorder the terms: 5m + -2m + 5n + 10n = 0 Combine like terms: 5m + -2m = 3m 3m + 5n + 10n = 0 Combine like terms: 5n + 10n = 15n 3m + 15n = 0 Solving 3m + 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. 3m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 3m + 0 = 0 + -15n 3m = 0 + -15n Remove the zero: 3m = -15n Divide each side by '3'. m = -5n Simplifying m = -5n
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