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Simplifying 8(1 + 6n) + n = 8 + -5n (1 * 8 + 6n * 8) + n = 8 + -5n (8 + 48n) + n = 8 + -5n Combine like terms: 48n + n = 49n 8 + 49n = 8 + -5n Add '-8' to each side of the equation. 8 + -8 + 49n = 8 + -8 + -5n Combine like terms: 8 + -8 = 0 0 + 49n = 8 + -8 + -5n 49n = 8 + -8 + -5n Combine like terms: 8 + -8 = 0 49n = 0 + -5n 49n = -5n Solving 49n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 49n + 5n = -5n + 5n Combine like terms: 49n + 5n = 54n 54n = -5n + 5n Combine like terms: -5n + 5n = 0 54n = 0 Divide each side by '54'. n = 0 Simplifying n = 0
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