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Simplifying (3n + 5)(n + -3) + -3n(n + 5) = 4 Reorder the terms: (5 + 3n)(n + -3) + -3n(n + 5) = 4 Reorder the terms: (5 + 3n)(-3 + n) + -3n(n + 5) = 4 Multiply (5 + 3n) * (-3 + n) (5(-3 + n) + 3n * (-3 + n)) + -3n(n + 5) = 4 ((-3 * 5 + n * 5) + 3n * (-3 + n)) + -3n(n + 5) = 4 ((-15 + 5n) + 3n * (-3 + n)) + -3n(n + 5) = 4 (-15 + 5n + (-3 * 3n + n * 3n)) + -3n(n + 5) = 4 (-15 + 5n + (-9n + 3n2)) + -3n(n + 5) = 4 Combine like terms: 5n + -9n = -4n (-15 + -4n + 3n2) + -3n(n + 5) = 4 Reorder the terms: -15 + -4n + 3n2 + -3n(5 + n) = 4 -15 + -4n + 3n2 + (5 * -3n + n * -3n) = 4 -15 + -4n + 3n2 + (-15n + -3n2) = 4 Reorder the terms: -15 + -4n + -15n + 3n2 + -3n2 = 4 Combine like terms: -4n + -15n = -19n -15 + -19n + 3n2 + -3n2 = 4 Combine like terms: 3n2 + -3n2 = 0 -15 + -19n + 0 = 4 -15 + -19n = 4 Solving -15 + -19n = 4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -19n = 4 + 15 Combine like terms: -15 + 15 = 0 0 + -19n = 4 + 15 -19n = 4 + 15 Combine like terms: 4 + 15 = 19 -19n = 19 Divide each side by '-19'. n = -1 Simplifying n = -1
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