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Simplifying (12m + 3n) + -1(5m + 5n) = 0 Remove parenthesis around (12m + 3n) 12m + 3n + -1(5m + 5n) = 0 12m + 3n + (5m * -1 + 5n * -1) = 0 12m + 3n + (-5m + -5n) = 0 Reorder the terms: 12m + -5m + 3n + -5n = 0 Combine like terms: 12m + -5m = 7m 7m + 3n + -5n = 0 Combine like terms: 3n + -5n = -2n 7m + -2n = 0 Solving 7m + -2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 7m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 7m + 0 = 0 + 2n 7m = 0 + 2n Remove the zero: 7m = 2n Divide each side by '7'. m = 0.2857142857n Simplifying m = 0.2857142857n
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