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Simplifying (12m + -11n) + -1(15m + -18n) = 0 Remove parenthesis around (12m + -11n) 12m + -11n + -1(15m + -18n) = 0 12m + -11n + (15m * -1 + -18n * -1) = 0 12m + -11n + (-15m + 18n) = 0 Reorder the terms: 12m + -15m + -11n + 18n = 0 Combine like terms: 12m + -15m = -3m -3m + -11n + 18n = 0 Combine like terms: -11n + 18n = 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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