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Simplifying -8(3 + 2n) = 2(6n + 2) (3 * -8 + 2n * -8) = 2(6n + 2) (-24 + -16n) = 2(6n + 2) Reorder the terms: -24 + -16n = 2(2 + 6n) -24 + -16n = (2 * 2 + 6n * 2) -24 + -16n = (4 + 12n) Solving -24 + -16n = 4 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -24 + -16n + -12n = 4 + 12n + -12n Combine like terms: -16n + -12n = -28n -24 + -28n = 4 + 12n + -12n Combine like terms: 12n + -12n = 0 -24 + -28n = 4 + 0 -24 + -28n = 4 Add '24' to each side of the equation. -24 + 24 + -28n = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -28n = 4 + 24 -28n = 4 + 24 Combine like terms: 4 + 24 = 28 -28n = 28 Divide each side by '-28'. n = -1 Simplifying n = -1
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