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Simplifying 8 + -1(2n + -9) = 6 + -3n Reorder the terms: 8 + -1(-9 + 2n) = 6 + -3n 8 + (-9 * -1 + 2n * -1) = 6 + -3n 8 + (9 + -2n) = 6 + -3n Combine like terms: 8 + 9 = 17 17 + -2n = 6 + -3n Solving 17 + -2n = 6 + -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. 17 + -2n + 3n = 6 + -3n + 3n Combine like terms: -2n + 3n = 1n 17 + 1n = 6 + -3n + 3n Combine like terms: -3n + 3n = 0 17 + 1n = 6 + 0 17 + 1n = 6 Add '-17' to each side of the equation. 17 + -17 + 1n = 6 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 6 + -17 1n = 6 + -17 Combine like terms: 6 + -17 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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