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Simplifying (n + -2)(n + -3)(n + -4) = 60 Reorder the terms: (-2 + n)(n + -3)(n + -4) = 60 Reorder the terms: (-2 + n)(-3 + n)(n + -4) = 60 Reorder the terms: (-2 + n)(-3 + n)(-4 + n) = 60 Multiply (-2 + n) * (-3 + n) (-2(-3 + n) + n(-3 + n))(-4 + n) = 60 ((-3 * -2 + n * -2) + n(-3 + n))(-4 + n) = 60 ((6 + -2n) + n(-3 + n))(-4 + n) = 60 (6 + -2n + (-3 * n + n * n))(-4 + n) = 60 (6 + -2n + (-3n + n2))(-4 + n) = 60 Combine like terms: -2n + -3n = -5n (6 + -5n + n2)(-4 + n) = 60 Multiply (6 + -5n + n2) * (-4 + n) (6(-4 + n) + -5n * (-4 + n) + n2(-4 + n)) = 60 ((-4 * 6 + n * 6) + -5n * (-4 + n) + n2(-4 + n)) = 60 ((-24 + 6n) + -5n * (-4 + n) + n2(-4 + n)) = 60 (-24 + 6n + (-4 * -5n + n * -5n) + n2(-4 + n)) = 60 (-24 + 6n + (20n + -5n2) + n2(-4 + n)) = 60 (-24 + 6n + 20n + -5n2 + (-4 * n2 + n * n2)) = 60 (-24 + 6n + 20n + -5n2 + (-4n2 + n3)) = 60 Combine like terms: 6n + 20n = 26n (-24 + 26n + -5n2 + -4n2 + n3) = 60 Combine like terms: -5n2 + -4n2 = -9n2 (-24 + 26n + -9n2 + n3) = 60 Solving -24 + 26n + -9n2 + n3 = 60 Solving for variable 'n'. Reorder the terms: -24 + -60 + 26n + -9n2 + n3 = 60 + -60 Combine like terms: -24 + -60 = -84 -84 + 26n + -9n2 + n3 = 60 + -60 Combine like terms: 60 + -60 = 0 -84 + 26n + -9n2 + n3 = 0 The solution to this equation could not be determined.
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