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Simplifying 7(3n + 3) = 9(9n + 4) + 7 Reorder the terms: 7(3 + 3n) = 9(9n + 4) + 7 (3 * 7 + 3n * 7) = 9(9n + 4) + 7 (21 + 21n) = 9(9n + 4) + 7 Reorder the terms: 21 + 21n = 9(4 + 9n) + 7 21 + 21n = (4 * 9 + 9n * 9) + 7 21 + 21n = (36 + 81n) + 7 Reorder the terms: 21 + 21n = 36 + 7 + 81n Combine like terms: 36 + 7 = 43 21 + 21n = 43 + 81n Solving 21 + 21n = 43 + 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. 21 + 21n + -81n = 43 + 81n + -81n Combine like terms: 21n + -81n = -60n 21 + -60n = 43 + 81n + -81n Combine like terms: 81n + -81n = 0 21 + -60n = 43 + 0 21 + -60n = 43 Add '-21' to each side of the equation. 21 + -21 + -60n = 43 + -21 Combine like terms: 21 + -21 = 0 0 + -60n = 43 + -21 -60n = 43 + -21 Combine like terms: 43 + -21 = 22 -60n = 22 Divide each side by '-60'. n = -0.3666666667 Simplifying n = -0.3666666667
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