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Simplifying 9 + -1(3n + -5) = 6 + -4n Reorder the terms: 9 + -1(-5 + 3n) = 6 + -4n 9 + (-5 * -1 + 3n * -1) = 6 + -4n 9 + (5 + -3n) = 6 + -4n Combine like terms: 9 + 5 = 14 14 + -3n = 6 + -4n Solving 14 + -3n = 6 + -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. 14 + -3n + 4n = 6 + -4n + 4n Combine like terms: -3n + 4n = 1n 14 + 1n = 6 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 1n = 6 + 0 14 + 1n = 6 Add '-14' to each side of the equation. 14 + -14 + 1n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 6 + -14 1n = 6 + -14 Combine like terms: 6 + -14 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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