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Simplifying 4(n + 1) = 2(11 + -1n) Reorder the terms: 4(1 + n) = 2(11 + -1n) (1 * 4 + n * 4) = 2(11 + -1n) (4 + 4n) = 2(11 + -1n) 4 + 4n = (11 * 2 + -1n * 2) 4 + 4n = (22 + -2n) Solving 4 + 4n = 22 + -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 = 22 + -2n + 2n Combine like terms: 4n + 2n = 6n 4 + 6n = 22 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 6n = 22 + 0 4 + 6n = 22 Add '-4' to each side of the equation. 4 + -4 + 6n = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = 22 + -4 6n = 22 + -4 Combine like terms: 22 + -4 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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