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Simplifying 6(2m + -1n) + -10m + 3n = 0 (2m * 6 + -1n * 6) + -10m + 3n = 0 (12m + -6n) + -10m + 3n = 0 Reorder the terms: 12m + -10m + -6n + 3n = 0 Combine like terms: 12m + -10m = 2m 2m + -6n + 3n = 0 Combine like terms: -6n + 3n = -3n 2m + -3n = 0 Solving 2m + -3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 2m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 2m + 0 = 0 + 3n 2m = 0 + 3n Remove the zero: 2m = 3n Divide each side by '2'. m = 1.5n Simplifying m = 1.5n
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