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Simplifying 6(n + 3) = 3n + 27 Reorder the terms: 6(3 + n) = 3n + 27 (3 * 6 + n * 6) = 3n + 27 (18 + 6n) = 3n + 27 Reorder the terms: 18 + 6n = 27 + 3n Solving 18 + 6n = 27 + 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. 18 + 6n + -3n = 27 + 3n + -3n Combine like terms: 6n + -3n = 3n 18 + 3n = 27 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + 3n = 27 + 0 18 + 3n = 27 Add '-18' to each side of the equation. 18 + -18 + 3n = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 3n = 27 + -18 3n = 27 + -18 Combine like terms: 27 + -18 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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