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Simplifying -84 = 2(6n + 6) Reorder the terms: -84 = 2(6 + 6n) -84 = (6 * 2 + 6n * 2) -84 = (12 + 12n) Solving -84 = 12 + 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. -84 + -12n = 12 + 12n + -12n Combine like terms: 12n + -12n = 0 -84 + -12n = 12 + 0 -84 + -12n = 12 Add '84' to each side of the equation. -84 + 84 + -12n = 12 + 84 Combine like terms: -84 + 84 = 0 0 + -12n = 12 + 84 -12n = 12 + 84 Combine like terms: 12 + 84 = 96 -12n = 96 Divide each side by '-12'. n = -8 Simplifying n = -8
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