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Simplifying (5m + -6n) + (-2m + -1n) = 0 Remove parenthesis around (5m + -6n) 5m + -6n + (-2m + -1n) = 0 Remove parenthesis around (-2m + -1n) 5m + -6n + -2m + -1n = 0 Reorder the terms: 5m + -2m + -6n + -1n = 0 Combine like terms: 5m + -2m = 3m 3m + -6n + -1n = 0 Combine like terms: -6n + -1n = -7n 3m + -7n = 0 Solving 3m + -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. 3m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 3m + 0 = 0 + 7n 3m = 0 + 7n Remove the zero: 3m = 7n Divide each side by '3'. m = 2.333333333n Simplifying m = 2.333333333n
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