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Simplifying 3(n + 5) = 6n + 24 Reorder the terms: 3(5 + n) = 6n + 24 (5 * 3 + n * 3) = 6n + 24 (15 + 3n) = 6n + 24 Reorder the terms: 15 + 3n = 24 + 6n Solving 15 + 3n = 24 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 15 + 3n + -6n = 24 + 6n + -6n Combine like terms: 3n + -6n = -3n 15 + -3n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 15 + -3n = 24 + 0 15 + -3n = 24 Add '-15' to each side of the equation. 15 + -15 + -3n = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -3n = 24 + -15 -3n = 24 + -15 Combine like terms: 24 + -15 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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