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Simplifying 6(6n + 6) + -5 = 1 + 6n Reorder the terms: 6(6 + 6n) + -5 = 1 + 6n (6 * 6 + 6n * 6) + -5 = 1 + 6n (36 + 36n) + -5 = 1 + 6n Reorder the terms: 36 + -5 + 36n = 1 + 6n Combine like terms: 36 + -5 = 31 31 + 36n = 1 + 6n Solving 31 + 36n = 1 + 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. 31 + 36n + -6n = 1 + 6n + -6n Combine like terms: 36n + -6n = 30n 31 + 30n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 31 + 30n = 1 + 0 31 + 30n = 1 Add '-31' to each side of the equation. 31 + -31 + 30n = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 30n = 1 + -31 30n = 1 + -31 Combine like terms: 1 + -31 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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