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Simplifying -3(n + -5) = 3(1 + -3n) Reorder the terms: -3(-5 + n) = 3(1 + -3n) (-5 * -3 + n * -3) = 3(1 + -3n) (15 + -3n) = 3(1 + -3n) 15 + -3n = (1 * 3 + -3n * 3) 15 + -3n = (3 + -9n) Solving 15 + -3n = 3 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 15 + -3n + 9n = 3 + -9n + 9n Combine like terms: -3n + 9n = 6n 15 + 6n = 3 + -9n + 9n Combine like terms: -9n + 9n = 0 15 + 6n = 3 + 0 15 + 6n = 3 Add '-15' to each side of the equation. 15 + -15 + 6n = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = 3 + -15 6n = 3 + -15 Combine like terms: 3 + -15 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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