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Simplifying 8(n + 8) = 36 + -6n Reorder the terms: 8(8 + n) = 36 + -6n (8 * 8 + n * 8) = 36 + -6n (64 + 8n) = 36 + -6n Solving 64 + 8n = 36 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 64 + 8n + 6n = 36 + -6n + 6n Combine like terms: 8n + 6n = 14n 64 + 14n = 36 + -6n + 6n Combine like terms: -6n + 6n = 0 64 + 14n = 36 + 0 64 + 14n = 36 Add '-64' to each side of the equation. 64 + -64 + 14n = 36 + -64 Combine like terms: 64 + -64 = 0 0 + 14n = 36 + -64 14n = 36 + -64 Combine like terms: 36 + -64 = -28 14n = -28 Divide each side by '14'. n = -2 Simplifying n = -2
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