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Simplifying -5(-4 + 4n) + 3n = -8 + -3n (-4 * -5 + 4n * -5) + 3n = -8 + -3n (20 + -20n) + 3n = -8 + -3n Combine like terms: -20n + 3n = -17n 20 + -17n = -8 + -3n Solving 20 + -17n = -8 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 20 + -17n + 3n = -8 + -3n + 3n Combine like terms: -17n + 3n = -14n 20 + -14n = -8 + -3n + 3n Combine like terms: -3n + 3n = 0 20 + -14n = -8 + 0 20 + -14n = -8 Add '-20' to each side of the equation. 20 + -20 + -14n = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -14n = -8 + -20 -14n = -8 + -20 Combine like terms: -8 + -20 = -28 -14n = -28 Divide each side by '-14'. n = 2 Simplifying n = 2
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