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Simplifying 6m + 3n + -3m + 7n = 0 Reorder the terms: 6m + -3m + 3n + 7n = 0 Combine like terms: 6m + -3m = 3m 3m + 3n + 7n = 0 Combine like terms: 3n + 7n = 10n 3m + 10n = 0 Solving 3m + 10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10n' to each side of the equation. 3m + 10n + -10n = 0 + -10n Combine like terms: 10n + -10n = 0 3m + 0 = 0 + -10n 3m = 0 + -10n Remove the zero: 3m = -10n Divide each side by '3'. m = -3.333333333n Simplifying m = -3.333333333n
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