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Simplifying (3n + 4)(n + -2) + -3n(n + 3) = 3 Reorder the terms: (4 + 3n)(n + -2) + -3n(n + 3) = 3 Reorder the terms: (4 + 3n)(-2 + n) + -3n(n + 3) = 3 Multiply (4 + 3n) * (-2 + n) (4(-2 + n) + 3n * (-2 + n)) + -3n(n + 3) = 3 ((-2 * 4 + n * 4) + 3n * (-2 + n)) + -3n(n + 3) = 3 ((-8 + 4n) + 3n * (-2 + n)) + -3n(n + 3) = 3 (-8 + 4n + (-2 * 3n + n * 3n)) + -3n(n + 3) = 3 (-8 + 4n + (-6n + 3n2)) + -3n(n + 3) = 3 Combine like terms: 4n + -6n = -2n (-8 + -2n + 3n2) + -3n(n + 3) = 3 Reorder the terms: -8 + -2n + 3n2 + -3n(3 + n) = 3 -8 + -2n + 3n2 + (3 * -3n + n * -3n) = 3 -8 + -2n + 3n2 + (-9n + -3n2) = 3 Reorder the terms: -8 + -2n + -9n + 3n2 + -3n2 = 3 Combine like terms: -2n + -9n = -11n -8 + -11n + 3n2 + -3n2 = 3 Combine like terms: 3n2 + -3n2 = 0 -8 + -11n + 0 = 3 -8 + -11n = 3 Solving -8 + -11n = 3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -11n = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -11n = 3 + 8 -11n = 3 + 8 Combine like terms: 3 + 8 = 11 -11n = 11 Divide each side by '-11'. n = -1 Simplifying n = -1
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