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Simplifying 10m + 5n + -6m + 15n = 0 Reorder the terms: 10m + -6m + 5n + 15n = 0 Combine like terms: 10m + -6m = 4m 4m + 5n + 15n = 0 Combine like terms: 5n + 15n = 20n 4m + 20n = 0 Solving 4m + 20n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20n' to each side of the equation. 4m + 20n + -20n = 0 + -20n Combine like terms: 20n + -20n = 0 4m + 0 = 0 + -20n 4m = 0 + -20n Remove the zero: 4m = -20n Divide each side by '4'. m = -5n Simplifying m = -5n
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