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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 = 12 -14n = 12 Divide each side by '-14'. n = -0.8571428571 Simplifying n = -0.8571428571
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