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Simplifying -5(4n + -3) + 3(2n + 6) = -9 Reorder the terms: -5(-3 + 4n) + 3(2n + 6) = -9 (-3 * -5 + 4n * -5) + 3(2n + 6) = -9 (15 + -20n) + 3(2n + 6) = -9 Reorder the terms: 15 + -20n + 3(6 + 2n) = -9 15 + -20n + (6 * 3 + 2n * 3) = -9 15 + -20n + (18 + 6n) = -9 Reorder the terms: 15 + 18 + -20n + 6n = -9 Combine like terms: 15 + 18 = 33 33 + -20n + 6n = -9 Combine like terms: -20n + 6n = -14n 33 + -14n = -9 Solving 33 + -14n = -9 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -14n = -9 + -33 Combine like terms: 33 + -33 = 0 0 + -14n = -9 + -33 -14n = -9 + -33 Combine like terms: -9 + -33 = -42 -14n = -42 Divide each side by '-14'. n = 3 Simplifying n = 3
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