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Simplifying -84 = -6 + 6(1 + -2n) -84 = -6 + (1 * 6 + -2n * 6) -84 = -6 + (6 + -12n) Combine like terms: -6 + 6 = 0 -84 = 0 + -12n -84 = -12n Solving -84 = -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 = -12n + 12n Combine like terms: -12n + 12n = 0 -84 + 12n = 0 Add '84' to each side of the equation. -84 + 84 + 12n = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 12n = 0 + 84 12n = 0 + 84 Combine like terms: 0 + 84 = 84 12n = 84 Divide each side by '12'. n = 7 Simplifying n = 7
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