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