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Simplifying 10 + -1(8 + -8n) + 10n = 4 + 12(n + 1) 10 + (8 * -1 + -8n * -1) + 10n = 4 + 12(n + 1) 10 + (-8 + 8n) + 10n = 4 + 12(n + 1) Combine like terms: 10 + -8 = 2 2 + 8n + 10n = 4 + 12(n + 1) Combine like terms: 8n + 10n = 18n 2 + 18n = 4 + 12(n + 1) Reorder the terms: 2 + 18n = 4 + 12(1 + n) 2 + 18n = 4 + (1 * 12 + n * 12) 2 + 18n = 4 + (12 + 12n) Combine like terms: 4 + 12 = 16 2 + 18n = 16 + 12n Solving 2 + 18n = 16 + 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. 2 + 18n + -12n = 16 + 12n + -12n Combine like terms: 18n + -12n = 6n 2 + 6n = 16 + 12n + -12n Combine like terms: 12n + -12n = 0 2 + 6n = 16 + 0 2 + 6n = 16 Add '-2' to each side of the equation. 2 + -2 + 6n = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 16 + -2 6n = 16 + -2 Combine like terms: 16 + -2 = 14 6n = 14 Divide each side by '6'. n = 2.333333333 Simplifying n = 2.333333333
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