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Simplifying 2(n + 4) = 6(n + -4) Reorder the terms: 2(4 + n) = 6(n + -4) (4 * 2 + n * 2) = 6(n + -4) (8 + 2n) = 6(n + -4) Reorder the terms: 8 + 2n = 6(-4 + n) 8 + 2n = (-4 * 6 + n * 6) 8 + 2n = (-24 + 6n) Solving 8 + 2n = -24 + 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 = -24 + 6n + -6n Combine like terms: 2n + -6n = -4n 8 + -4n = -24 + 6n + -6n Combine like terms: 6n + -6n = 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 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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