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Simplifying 2(3n + 6) = 2(n + -8) Reorder the terms: 2(6 + 3n) = 2(n + -8) (6 * 2 + 3n * 2) = 2(n + -8) (12 + 6n) = 2(n + -8) Reorder the terms: 12 + 6n = 2(-8 + n) 12 + 6n = (-8 * 2 + n * 2) 12 + 6n = (-16 + 2n) Solving 12 + 6n = -16 + 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. 12 + 6n + -2n = -16 + 2n + -2n Combine like terms: 6n + -2n = 4n 12 + 4n = -16 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 4n = -16 + 0 12 + 4n = -16 Add '-12' to each side of the equation. 12 + -12 + 4n = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = -16 + -12 4n = -16 + -12 Combine like terms: -16 + -12 = -28 4n = -28 Divide each side by '4'. n = -7 Simplifying n = -7
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