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Simplifying 4(3n + 3) = 9(9n + 1) + 5 Reorder the terms: 4(3 + 3n) = 9(9n + 1) + 5 (3 * 4 + 3n * 4) = 9(9n + 1) + 5 (12 + 12n) = 9(9n + 1) + 5 Reorder the terms: 12 + 12n = 9(1 + 9n) + 5 12 + 12n = (1 * 9 + 9n * 9) + 5 12 + 12n = (9 + 81n) + 5 Reorder the terms: 12 + 12n = 9 + 5 + 81n Combine like terms: 9 + 5 = 14 12 + 12n = 14 + 81n Solving 12 + 12n = 14 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 12 + 12n + -81n = 14 + 81n + -81n Combine like terms: 12n + -81n = -69n 12 + -69n = 14 + 81n + -81n Combine like terms: 81n + -81n = 0 12 + -69n = 14 + 0 12 + -69n = 14 Add '-12' to each side of the equation. 12 + -12 + -69n = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -69n = 14 + -12 -69n = 14 + -12 Combine like terms: 14 + -12 = 2 -69n = 2 Divide each side by '-69'. n = -0.02898550725 Simplifying n = -0.02898550725
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