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Simplifying -84 = 2(6n + -2) + -8 Reorder the terms: -84 = 2(-2 + 6n) + -8 -84 = (-2 * 2 + 6n * 2) + -8 -84 = (-4 + 12n) + -8 Reorder the terms: -84 = -4 + -8 + 12n Combine like terms: -4 + -8 = -12 -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 = 72 -12n = 72 Divide each side by '-12'. n = -6 Simplifying n = -6
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