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Simplifying 7n + 3m + -1(4n + -1m) = 0 Reorder the terms: 7n + 3m + -1(-1m + 4n) = 0 7n + 3m + (-1m * -1 + 4n * -1) = 0 7n + 3m + (1m + -4n) = 0 Reorder the terms: 3m + 1m + 7n + -4n = 0 Combine like terms: 3m + 1m = 4m 4m + 7n + -4n = 0 Combine like terms: 7n + -4n = 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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