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Simplifying (12m + 4n) + (3m + 7n) = 0 Remove parenthesis around (12m + 4n) 12m + 4n + (3m + 7n) = 0 Remove parenthesis around (3m + 7n) 12m + 4n + 3m + 7n = 0 Reorder the terms: 12m + 3m + 4n + 7n = 0 Combine like terms: 12m + 3m = 15m 15m + 4n + 7n = 0 Combine like terms: 4n + 7n = 11n 15m + 11n = 0 Solving 15m + 11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11n' to each side of the equation. 15m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 15m + 0 = 0 + -11n 15m = 0 + -11n Remove the zero: 15m = -11n Divide each side by '15'. m = -0.7333333333n Simplifying m = -0.7333333333n
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