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Simplifying 8 + -1(3n + -9) = 5 + -4n Reorder the terms: 8 + -1(-9 + 3n) = 5 + -4n 8 + (-9 * -1 + 3n * -1) = 5 + -4n 8 + (9 + -3n) = 5 + -4n Combine like terms: 8 + 9 = 17 17 + -3n = 5 + -4n Solving 17 + -3n = 5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 17 + -3n + 4n = 5 + -4n + 4n Combine like terms: -3n + 4n = 1n 17 + 1n = 5 + -4n + 4n Combine like terms: -4n + 4n = 0 17 + 1n = 5 + 0 17 + 1n = 5 Add '-17' to each side of the equation. 17 + -17 + 1n = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 5 + -17 1n = 5 + -17 Combine like terms: 5 + -17 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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