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Simplifying -81 = -2(6n + 1) + 5 Reorder the terms: -81 = -2(1 + 6n) + 5 -81 = (1 * -2 + 6n * -2) + 5 -81 = (-2 + -12n) + 5 Reorder the terms: -81 = -2 + 5 + -12n Combine like terms: -2 + 5 = 3 -81 = 3 + -12n Solving -81 = 3 + -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. -81 + 12n = 3 + -12n + 12n Combine like terms: -12n + 12n = 0 -81 + 12n = 3 + 0 -81 + 12n = 3 Add '81' to each side of the equation. -81 + 81 + 12n = 3 + 81 Combine like terms: -81 + 81 = 0 0 + 12n = 3 + 81 12n = 3 + 81 Combine like terms: 3 + 81 = 84 12n = 84 Divide each side by '12'. n = 7 Simplifying n = 7
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