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Simplifying 12n + 8 = 2n + -12 Reorder the terms: 8 + 12n = 2n + -12 Reorder the terms: 8 + 12n = -12 + 2n Solving 8 + 12n = -12 + 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. 8 + 12n + -2n = -12 + 2n + -2n Combine like terms: 12n + -2n = 10n 8 + 10n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + 10n = -12 + 0 8 + 10n = -12 Add '-8' to each side of the equation. 8 + -8 + 10n = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 10n = -12 + -8 10n = -12 + -8 Combine like terms: -12 + -8 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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