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Simplifying 81 = 3(6 + 3n) 81 = (6 * 3 + 3n * 3) 81 = (18 + 9n) Solving 81 = 18 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 81 + -9n = 18 + 9n + -9n Combine like terms: 9n + -9n = 0 81 + -9n = 18 + 0 81 + -9n = 18 Add '-81' to each side of the equation. 81 + -81 + -9n = 18 + -81 Combine like terms: 81 + -81 = 0 0 + -9n = 18 + -81 -9n = 18 + -81 Combine like terms: 18 + -81 = -63 -9n = -63 Divide each side by '-9'. n = 7 Simplifying n = 7
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