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Simplifying 2(n + 2) = 8 + -2(n + -6) Reorder the terms: 2(2 + n) = 8 + -2(n + -6) (2 * 2 + n * 2) = 8 + -2(n + -6) (4 + 2n) = 8 + -2(n + -6) Reorder the terms: 4 + 2n = 8 + -2(-6 + n) 4 + 2n = 8 + (-6 * -2 + n * -2) 4 + 2n = 8 + (12 + -2n) Combine like terms: 8 + 12 = 20 4 + 2n = 20 + -2n Solving 4 + 2n = 20 + -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 = 20 + -2n + 2n Combine like terms: 2n + 2n = 4n 4 + 4n = 20 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 4n = 20 + 0 4 + 4n = 20 Add '-4' to each side of the equation. 4 + -4 + 4n = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = 20 + -4 4n = 20 + -4 Combine like terms: 20 + -4 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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