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Simplifying -86 = -2(1 + 6n) -86 = (1 * -2 + 6n * -2) -86 = (-2 + -12n) Solving -86 = -2 + -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. -86 + 12n = -2 + -12n + 12n Combine like terms: -12n + 12n = 0 -86 + 12n = -2 + 0 -86 + 12n = -2 Add '86' to each side of the equation. -86 + 86 + 12n = -2 + 86 Combine like terms: -86 + 86 = 0 0 + 12n = -2 + 86 12n = -2 + 86 Combine like terms: -2 + 86 = 84 12n = 84 Divide each side by '12'. n = 7 Simplifying n = 7
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