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Simplifying 3(3n + 3) = 9(5n + 8) + 9 Reorder the terms: 3(3 + 3n) = 9(5n + 8) + 9 (3 * 3 + 3n * 3) = 9(5n + 8) + 9 (9 + 9n) = 9(5n + 8) + 9 Reorder the terms: 9 + 9n = 9(8 + 5n) + 9 9 + 9n = (8 * 9 + 5n * 9) + 9 9 + 9n = (72 + 45n) + 9 Reorder the terms: 9 + 9n = 72 + 9 + 45n Combine like terms: 72 + 9 = 81 9 + 9n = 81 + 45n Solving 9 + 9n = 81 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 9 + 9n + -45n = 81 + 45n + -45n Combine like terms: 9n + -45n = -36n 9 + -36n = 81 + 45n + -45n Combine like terms: 45n + -45n = 0 9 + -36n = 81 + 0 9 + -36n = 81 Add '-9' to each side of the equation. 9 + -9 + -36n = 81 + -9 Combine like terms: 9 + -9 = 0 0 + -36n = 81 + -9 -36n = 81 + -9 Combine like terms: 81 + -9 = 72 -36n = 72 Divide each side by '-36'. n = -2 Simplifying n = -2
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