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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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