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Simplifying 7(2m + n) + -3(m + n) = 0 (2m * 7 + n * 7) + -3(m + n) = 0 (14m + 7n) + -3(m + n) = 0 14m + 7n + (m * -3 + n * -3) = 0 14m + 7n + (-3m + -3n) = 0 Reorder the terms: 14m + -3m + 7n + -3n = 0 Combine like terms: 14m + -3m = 11m 11m + 7n + -3n = 0 Combine like terms: 7n + -3n = 4n 11m + 4n = 0 Solving 11m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 11m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 11m + 0 = 0 + -4n 11m = 0 + -4n Remove the zero: 11m = -4n Divide each side by '11'. m = -0.3636363636n Simplifying m = -0.3636363636n
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