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Simplifying 3 + 6(n + 6) = 8n + 27 Reorder the terms: 3 + 6(6 + n) = 8n + 27 3 + (6 * 6 + n * 6) = 8n + 27 3 + (36 + 6n) = 8n + 27 Combine like terms: 3 + 36 = 39 39 + 6n = 8n + 27 Reorder the terms: 39 + 6n = 27 + 8n Solving 39 + 6n = 27 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 39 + 6n + -8n = 27 + 8n + -8n Combine like terms: 6n + -8n = -2n 39 + -2n = 27 + 8n + -8n Combine like terms: 8n + -8n = 0 39 + -2n = 27 + 0 39 + -2n = 27 Add '-39' to each side of the equation. 39 + -39 + -2n = 27 + -39 Combine like terms: 39 + -39 = 0 0 + -2n = 27 + -39 -2n = 27 + -39 Combine like terms: 27 + -39 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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