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Simplifying 6(n + 8) + 12 = 12(n + 10) + 12 Reorder the terms: 6(8 + n) + 12 = 12(n + 10) + 12 (8 * 6 + n * 6) + 12 = 12(n + 10) + 12 (48 + 6n) + 12 = 12(n + 10) + 12 Reorder the terms: 48 + 12 + 6n = 12(n + 10) + 12 Combine like terms: 48 + 12 = 60 60 + 6n = 12(n + 10) + 12 Reorder the terms: 60 + 6n = 12(10 + n) + 12 60 + 6n = (10 * 12 + n * 12) + 12 60 + 6n = (120 + 12n) + 12 Reorder the terms: 60 + 6n = 120 + 12 + 12n Combine like terms: 120 + 12 = 132 60 + 6n = 132 + 12n Solving 60 + 6n = 132 + 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. 60 + 6n + -12n = 132 + 12n + -12n Combine like terms: 6n + -12n = -6n 60 + -6n = 132 + 12n + -12n Combine like terms: 12n + -12n = 0 60 + -6n = 132 + 0 60 + -6n = 132 Add '-60' to each side of the equation. 60 + -60 + -6n = 132 + -60 Combine like terms: 60 + -60 = 0 0 + -6n = 132 + -60 -6n = 132 + -60 Combine like terms: 132 + -60 = 72 -6n = 72 Divide each side by '-6'. n = -12 Simplifying n = -12
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