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Simplifying 8 + 12n + -2 = 8n + 86 + -6n Reorder the terms: 8 + -2 + 12n = 8n + 86 + -6n Combine like terms: 8 + -2 = 6 6 + 12n = 8n + 86 + -6n Reorder the terms: 6 + 12n = 86 + 8n + -6n Combine like terms: 8n + -6n = 2n 6 + 12n = 86 + 2n Solving 6 + 12n = 86 + 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. 6 + 12n + -2n = 86 + 2n + -2n Combine like terms: 12n + -2n = 10n 6 + 10n = 86 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + 10n = 86 + 0 6 + 10n = 86 Add '-6' to each side of the equation. 6 + -6 + 10n = 86 + -6 Combine like terms: 6 + -6 = 0 0 + 10n = 86 + -6 10n = 86 + -6 Combine like terms: 86 + -6 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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