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Simplifying 3(5 + n) = 27 + n (5 * 3 + n * 3) = 27 + n (15 + 3n) = 27 + n Solving 15 + 3n = 27 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 15 + 3n + -1n = 27 + n + -1n Combine like terms: 3n + -1n = 2n 15 + 2n = 27 + n + -1n Combine like terms: n + -1n = 0 15 + 2n = 27 + 0 15 + 2n = 27 Add '-15' to each side of the equation. 15 + -15 + 2n = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 2n = 27 + -15 2n = 27 + -15 Combine like terms: 27 + -15 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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