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Simplifying 6(1 + 6n) + 6 = 5(6n + 2) + 8n (1 * 6 + 6n * 6) + 6 = 5(6n + 2) + 8n (6 + 36n) + 6 = 5(6n + 2) + 8n Reorder the terms: 6 + 6 + 36n = 5(6n + 2) + 8n Combine like terms: 6 + 6 = 12 12 + 36n = 5(6n + 2) + 8n Reorder the terms: 12 + 36n = 5(2 + 6n) + 8n 12 + 36n = (2 * 5 + 6n * 5) + 8n 12 + 36n = (10 + 30n) + 8n Combine like terms: 30n + 8n = 38n 12 + 36n = 10 + 38n Solving 12 + 36n = 10 + 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. 12 + 36n + -38n = 10 + 38n + -38n Combine like terms: 36n + -38n = -2n 12 + -2n = 10 + 38n + -38n Combine like terms: 38n + -38n = 0 12 + -2n = 10 + 0 12 + -2n = 10 Add '-12' to each side of the equation. 12 + -12 + -2n = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 10 + -12 -2n = 10 + -12 Combine like terms: 10 + -12 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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