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Simplifying -1[-1(7mn + 5m) + (-3n)(m + 2)] = 0 Reorder the terms: -1[-1(5m + 7mn) + (-3n)(m + 2)] = 0 -1[(5m * -1 + 7mn * -1) + (-3n)(m + 2)] = 0 -1[(-5m + -7mn) + (-3n)(m + 2)] = 0 Remove parenthesis around (-3n) -1[-5m + -7mn + -3n(m + 2)] = 0 Reorder the terms: -1[-5m + -7mn + -3n(2 + m)] = 0 -1[-5m + -7mn + (2 * -3n + m * -3n)] = 0 Reorder the terms: -1[-5m + -7mn + (-3mn + -6n)] = 0 -1[-5m + -7mn + (-3mn + -6n)] = 0 Combine like terms: -7mn + -3mn = -10mn -1[-5m + -10mn + -6n] = 0 [-5m * -1 + -10mn * -1 + -6n * -1] = 0 [5m + 10mn + 6n] = 0 Solving 5m + 10mn + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6n' to each side of the equation. 5m + 10mn + 6n + -6n = 0 + -6n Combine like terms: 6n + -6n = 0 5m + 10mn + 0 = 0 + -6n 5m + 10mn = 0 + -6n Remove the zero: 5m + 10mn = -6n Combine like terms: -6n + 6n = 0 5m + 10mn + 6n = 0 The solution to this equation could not be determined.
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