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