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Simplifying 29 + 8n = 1 + 6(n + 6) Reorder the terms: 29 + 8n = 1 + 6(6 + n) 29 + 8n = 1 + (6 * 6 + n * 6) 29 + 8n = 1 + (36 + 6n) Combine like terms: 1 + 36 = 37 29 + 8n = 37 + 6n Solving 29 + 8n = 37 + 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. 29 + 8n + -6n = 37 + 6n + -6n Combine like terms: 8n + -6n = 2n 29 + 2n = 37 + 6n + -6n Combine like terms: 6n + -6n = 0 29 + 2n = 37 + 0 29 + 2n = 37 Add '-29' to each side of the equation. 29 + -29 + 2n = 37 + -29 Combine like terms: 29 + -29 = 0 0 + 2n = 37 + -29 2n = 37 + -29 Combine like terms: 37 + -29 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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