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