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