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Simplifying 6(n + 6) + -1 = 23 + -6n Reorder the terms: 6(6 + n) + -1 = 23 + -6n (6 * 6 + n * 6) + -1 = 23 + -6n (36 + 6n) + -1 = 23 + -6n Reorder the terms: 36 + -1 + 6n = 23 + -6n Combine like terms: 36 + -1 = 35 35 + 6n = 23 + -6n Solving 35 + 6n = 23 + -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. 35 + 6n + 6n = 23 + -6n + 6n Combine like terms: 6n + 6n = 12n 35 + 12n = 23 + -6n + 6n Combine like terms: -6n + 6n = 0 35 + 12n = 23 + 0 35 + 12n = 23 Add '-35' to each side of the equation. 35 + -35 + 12n = 23 + -35 Combine like terms: 35 + -35 = 0 0 + 12n = 23 + -35 12n = 23 + -35 Combine like terms: 23 + -35 = -12 12n = -12 Divide each side by '12'. n = -1 Simplifying n = -1
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