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Simplifying 8 = 2(n + 1) Reorder the terms: 8 = 2(1 + n) 8 = (1 * 2 + n * 2) 8 = (2 + 2n) Solving 8 = 2 + 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 + -2n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -2n = 2 + 0 8 + -2n = 2 Add '-8' to each side of the equation. 8 + -8 + -2n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 2 + -8 -2n = 2 + -8 Combine like terms: 2 + -8 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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