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Simplifying (10m + -1n) + -1(6m + 2n) = 0 Remove parenthesis around (10m + -1n) 10m + -1n + -1(6m + 2n) = 0 10m + -1n + (6m * -1 + 2n * -1) = 0 10m + -1n + (-6m + -2n) = 0 Reorder the terms: 10m + -6m + -1n + -2n = 0 Combine like terms: 10m + -6m = 4m 4m + -1n + -2n = 0 Combine like terms: -1n + -2n = -3n 4m + -3n = 0 Solving 4m + -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. 4m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 4m + 0 = 0 + 3n 4m = 0 + 3n Remove the zero: 4m = 3n Divide each side by '4'. m = 0.75n Simplifying m = 0.75n
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