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Simplifying -81 = 3n + 8(3 + -3n) -81 = 3n + (3 * 8 + -3n * 8) -81 = 3n + (24 + -24n) Reorder the terms: -81 = 24 + 3n + -24n Combine like terms: 3n + -24n = -21n -81 = 24 + -21n Solving -81 = 24 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -81 + 21n = 24 + -21n + 21n Combine like terms: -21n + 21n = 0 -81 + 21n = 24 + 0 -81 + 21n = 24 Add '81' to each side of the equation. -81 + 81 + 21n = 24 + 81 Combine like terms: -81 + 81 = 0 0 + 21n = 24 + 81 21n = 24 + 81 Combine like terms: 24 + 81 = 105 21n = 105 Divide each side by '21'. n = 5 Simplifying n = 5
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