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Simplifying m(n + 6n) + 4n(m + 6n) = 0 Combine like terms: n + 6n = 7n m(7n) + 4n(m + 6n) = 0 Remove parenthesis around (7n) m * 7n + 4n(m + 6n) = 0 Reorder the terms for easier multiplication: 7m * n + 4n(m + 6n) = 0 Multiply m * n 7mn + 4n(m + 6n) = 0 7mn + (m * 4n + 6n * 4n) = 0 7mn + (4mn + 24n2) = 0 Combine like terms: 7mn + 4mn = 11mn 11mn + 24n2 = 0 Solving 11mn + 24n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24n2' to each side of the equation. 11mn + 24n2 + -24n2 = 0 + -24n2 Combine like terms: 24n2 + -24n2 = 0 11mn + 0 = 0 + -24n2 11mn = 0 + -24n2 Remove the zero: 11mn = -24n2 Divide each side by '11n'. m = -2.181818182n Simplifying m = -2.181818182n
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