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Simplifying 4(n + 1) = 2(n + 5) Reorder the terms: 4(1 + n) = 2(n + 5) (1 * 4 + n * 4) = 2(n + 5) (4 + 4n) = 2(n + 5) Reorder the terms: 4 + 4n = 2(5 + n) 4 + 4n = (5 * 2 + n * 2) 4 + 4n = (10 + 2n) Solving 4 + 4n = 10 + 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. 4 + 4n + -2n = 10 + 2n + -2n Combine like terms: 4n + -2n = 2n 4 + 2n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 2n = 10 + 0 4 + 2n = 10 Add '-4' to each side of the equation. 4 + -4 + 2n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 10 + -4 2n = 10 + -4 Combine like terms: 10 + -4 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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