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Simplifying 5m + 7n + 8m + -3n = 0 Reorder the terms: 5m + 8m + 7n + -3n = 0 Combine like terms: 5m + 8m = 13m 13m + 7n + -3n = 0 Combine like terms: 7n + -3n = 4n 13m + 4n = 0 Solving 13m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 13m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 13m + 0 = 0 + -4n 13m = 0 + -4n Remove the zero: 13m = -4n Divide each side by '13'. m = -0.3076923077n Simplifying m = -0.3076923077n
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