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Simplifying 0 = 2m + -1(-3m + -4n) + (-5m + -6n) 0 = 2m + (-3m * -1 + -4n * -1) + (-5m + -6n) 0 = 2m + (3m + 4n) + (-5m + -6n) Remove parenthesis around (-5m + -6n) 0 = 2m + 3m + 4n + -5m + -6n Reorder the terms: 0 = 2m + 3m + -5m + 4n + -6n Combine like terms: 2m + 3m = 5m 0 = 5m + -5m + 4n + -6n Combine like terms: 5m + -5m = 0 0 = 0 + 4n + -6n 0 = 4n + -6n Combine like terms: 4n + -6n = -2n 0 = -2n Solving 0 = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 0 + 2n = -2n + 2n Remove the zero: 2n = -2n + 2n Combine like terms: -2n + 2n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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