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Simplifying (4n + -1m) + (3n + -5m) = 0 Reorder the terms: (-1m + 4n) + (3n + -5m) = 0 Remove parenthesis around (-1m + 4n) -1m + 4n + (3n + -5m) = 0 Reorder the terms: -1m + 4n + (-5m + 3n) = 0 Remove parenthesis around (-5m + 3n) -1m + 4n + -5m + 3n = 0 Reorder the terms: -1m + -5m + 4n + 3n = 0 Combine like terms: -1m + -5m = -6m -6m + 4n + 3n = 0 Combine like terms: 4n + 3n = 7n -6m + 7n = 0 Solving -6m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. -6m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 -6m + 0 = 0 + -7n -6m = 0 + -7n Remove the zero: -6m = -7n Divide each side by '-6'. m = 1.166666667n Simplifying m = 1.166666667n
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