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Simplifying 23 + 6n = 5 + 6(2n + 8) Reorder the terms: 23 + 6n = 5 + 6(8 + 2n) 23 + 6n = 5 + (8 * 6 + 2n * 6) 23 + 6n = 5 + (48 + 12n) Combine like terms: 5 + 48 = 53 23 + 6n = 53 + 12n Solving 23 + 6n = 53 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 23 + 6n + -12n = 53 + 12n + -12n Combine like terms: 6n + -12n = -6n 23 + -6n = 53 + 12n + -12n Combine like terms: 12n + -12n = 0 23 + -6n = 53 + 0 23 + -6n = 53 Add '-23' to each side of the equation. 23 + -23 + -6n = 53 + -23 Combine like terms: 23 + -23 = 0 0 + -6n = 53 + -23 -6n = 53 + -23 Combine like terms: 53 + -23 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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