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Simplifying 3(n + 2) = 30 + n Reorder the terms: 3(2 + n) = 30 + n (2 * 3 + n * 3) = 30 + n (6 + 3n) = 30 + n Solving 6 + 3n = 30 + 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. 6 + 3n + -1n = 30 + n + -1n Combine like terms: 3n + -1n = 2n 6 + 2n = 30 + n + -1n Combine like terms: n + -1n = 0 6 + 2n = 30 + 0 6 + 2n = 30 Add '-6' to each side of the equation. 6 + -6 + 2n = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = 30 + -6 2n = 30 + -6 Combine like terms: 30 + -6 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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