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Simplifying 2(n + 4) = 8 + 6(n + -4) Reorder the terms: 2(4 + n) = 8 + 6(n + -4) (4 * 2 + n * 2) = 8 + 6(n + -4) (8 + 2n) = 8 + 6(n + -4) Reorder the terms: 8 + 2n = 8 + 6(-4 + n) 8 + 2n = 8 + (-4 * 6 + n * 6) 8 + 2n = 8 + (-24 + 6n) Combine like terms: 8 + -24 = -16 8 + 2n = -16 + 6n Solving 8 + 2n = -16 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 8 + 2n + -6n = -16 + 6n + -6n Combine like terms: 2n + -6n = -4n 8 + -4n = -16 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -4n = -16 + 0 8 + -4n = -16 Add '-8' to each side of the equation. 8 + -8 + -4n = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -16 + -8 -4n = -16 + -8 Combine like terms: -16 + -8 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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