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Simplifying 4(n + 2) = 18 + 2n Reorder the terms: 4(2 + n) = 18 + 2n (2 * 4 + n * 4) = 18 + 2n (8 + 4n) = 18 + 2n Solving 8 + 4n = 18 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + 4n + -2n = 18 + 2n + -2n Combine like terms: 4n + -2n = 2n 8 + 2n = 18 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + 2n = 18 + 0 8 + 2n = 18 Add '-8' to each side of the equation. 8 + -8 + 2n = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2n = 18 + -8 2n = 18 + -8 Combine like terms: 18 + -8 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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