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Simplifying 12n + 24 = 2(n + -8) Reorder the terms: 24 + 12n = 2(n + -8) Reorder the terms: 24 + 12n = 2(-8 + n) 24 + 12n = (-8 * 2 + n * 2) 24 + 12n = (-16 + 2n) Solving 24 + 12n = -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. 24 + 12n + -2n = -16 + 2n + -2n Combine like terms: 12n + -2n = 10n 24 + 10n = -16 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 10n = -16 + 0 24 + 10n = -16 Add '-24' to each side of the equation. 24 + -24 + 10n = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 10n = -16 + -24 10n = -16 + -24 Combine like terms: -16 + -24 = -40 10n = -40 Divide each side by '10'. n = -4 Simplifying n = -4
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