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Simplifying 2(n + 4) = 6 + -4(n + -2) Reorder the terms: 2(4 + n) = 6 + -4(n + -2) (4 * 2 + n * 2) = 6 + -4(n + -2) (8 + 2n) = 6 + -4(n + -2) Reorder the terms: 8 + 2n = 6 + -4(-2 + n) 8 + 2n = 6 + (-2 * -4 + n * -4) 8 + 2n = 6 + (8 + -4n) Combine like terms: 6 + 8 = 14 8 + 2n = 14 + -4n Solving 8 + 2n = 14 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 8 + 2n + 4n = 14 + -4n + 4n Combine like terms: 2n + 4n = 6n 8 + 6n = 14 + -4n + 4n Combine like terms: -4n + 4n = 0 8 + 6n = 14 + 0 8 + 6n = 14 Add '-8' to each side of the equation. 8 + -8 + 6n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 6n = 14 + -8 6n = 14 + -8 Combine like terms: 14 + -8 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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