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Simplifying 3(3n + 4) = 9(9n + 1) + 7 Reorder the terms: 3(4 + 3n) = 9(9n + 1) + 7 (4 * 3 + 3n * 3) = 9(9n + 1) + 7 (12 + 9n) = 9(9n + 1) + 7 Reorder the terms: 12 + 9n = 9(1 + 9n) + 7 12 + 9n = (1 * 9 + 9n * 9) + 7 12 + 9n = (9 + 81n) + 7 Reorder the terms: 12 + 9n = 9 + 7 + 81n Combine like terms: 9 + 7 = 16 12 + 9n = 16 + 81n Solving 12 + 9n = 16 + 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 + 9n + -81n = 16 + 81n + -81n Combine like terms: 9n + -81n = -72n 12 + -72n = 16 + 81n + -81n Combine like terms: 81n + -81n = 0 12 + -72n = 16 + 0 12 + -72n = 16 Add '-12' to each side of the equation. 12 + -12 + -72n = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -72n = 16 + -12 -72n = 16 + -12 Combine like terms: 16 + -12 = 4 -72n = 4 Divide each side by '-72'. n = -0.05555555556 Simplifying n = -0.05555555556
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