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Simplifying 2(n + 2) = 8 + -2(n + -2) Reorder the terms: 2(2 + n) = 8 + -2(n + -2) (2 * 2 + n * 2) = 8 + -2(n + -2) (4 + 2n) = 8 + -2(n + -2) Reorder the terms: 4 + 2n = 8 + -2(-2 + n) 4 + 2n = 8 + (-2 * -2 + n * -2) 4 + 2n = 8 + (4 + -2n) Combine like terms: 8 + 4 = 12 4 + 2n = 12 + -2n Solving 4 + 2n = 12 + -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 + 2n + 2n = 12 + -2n + 2n Combine like terms: 2n + 2n = 4n 4 + 4n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 4n = 12 + 0 4 + 4n = 12 Add '-4' to each side of the equation. 4 + -4 + 4n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = 12 + -4 4n = 12 + -4 Combine like terms: 12 + -4 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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