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Simplifying 2(n + 4) = 8 + -2(n + -8) Reorder the terms: 2(4 + n) = 8 + -2(n + -8) (4 * 2 + n * 2) = 8 + -2(n + -8) (8 + 2n) = 8 + -2(n + -8) Reorder the terms: 8 + 2n = 8 + -2(-8 + n) 8 + 2n = 8 + (-8 * -2 + n * -2) 8 + 2n = 8 + (16 + -2n) Combine like terms: 8 + 16 = 24 8 + 2n = 24 + -2n Solving 8 + 2n = 24 + -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 + 2n = 24 + -2n + 2n Combine like terms: 2n + 2n = 4n 8 + 4n = 24 + -2n + 2n Combine like terms: -2n + 2n = 0 8 + 4n = 24 + 0 8 + 4n = 24 Add '-8' to each side of the equation. 8 + -8 + 4n = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = 24 + -8 4n = 24 + -8 Combine like terms: 24 + -8 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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