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Simplifying 0 = 2m + n + 4n + 3 + 2m + n + 1 + 5m + n + 2 + 12 + 2m Reorder the terms: 0 = 3 + 1 + 2 + 12 + 2m + 2m + 5m + 2m + n + 4n + n + n Combine like terms: 3 + 1 = 4 0 = 4 + 2 + 12 + 2m + 2m + 5m + 2m + n + 4n + n + n Combine like terms: 4 + 2 = 6 0 = 6 + 12 + 2m + 2m + 5m + 2m + n + 4n + n + n Combine like terms: 6 + 12 = 18 0 = 18 + 2m + 2m + 5m + 2m + n + 4n + n + n Combine like terms: 2m + 2m = 4m 0 = 18 + 4m + 5m + 2m + n + 4n + n + n Combine like terms: 4m + 5m = 9m 0 = 18 + 9m + 2m + n + 4n + n + n Combine like terms: 9m + 2m = 11m 0 = 18 + 11m + n + 4n + n + n Combine like terms: n + 4n = 5n 0 = 18 + 11m + 5n + n + n Combine like terms: 5n + n = 6n 0 = 18 + 11m + 6n + n Combine like terms: 6n + n = 7n 0 = 18 + 11m + 7n Solving 0 = 18 + 11m + 7n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 0 + -11m = 18 + 11m + -11m + 7n Remove the zero: -11m = 18 + 11m + -11m + 7n Combine like terms: 11m + -11m = 0 -11m = 18 + 0 + 7n -11m = 18 + 7n Divide each side by '-11'. m = -1.636363636 + -0.6363636364n Simplifying m = -1.636363636 + -0.6363636364n
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