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Simplifying 9(n + 1) = 3(n + -5) Reorder the terms: 9(1 + n) = 3(n + -5) (1 * 9 + n * 9) = 3(n + -5) (9 + 9n) = 3(n + -5) Reorder the terms: 9 + 9n = 3(-5 + n) 9 + 9n = (-5 * 3 + n * 3) 9 + 9n = (-15 + 3n) Solving 9 + 9n = -15 + 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. 9 + 9n + -3n = -15 + 3n + -3n Combine like terms: 9n + -3n = 6n 9 + 6n = -15 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + 6n = -15 + 0 9 + 6n = -15 Add '-9' to each side of the equation. 9 + -9 + 6n = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 6n = -15 + -9 6n = -15 + -9 Combine like terms: -15 + -9 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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