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Simplifying 3(3n + 3) = 9(5n + 4) + 6 Reorder the terms: 3(3 + 3n) = 9(5n + 4) + 6 (3 * 3 + 3n * 3) = 9(5n + 4) + 6 (9 + 9n) = 9(5n + 4) + 6 Reorder the terms: 9 + 9n = 9(4 + 5n) + 6 9 + 9n = (4 * 9 + 5n * 9) + 6 9 + 9n = (36 + 45n) + 6 Reorder the terms: 9 + 9n = 36 + 6 + 45n Combine like terms: 36 + 6 = 42 9 + 9n = 42 + 45n Solving 9 + 9n = 42 + 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 = 42 + 45n + -45n Combine like terms: 9n + -45n = -36n 9 + -36n = 42 + 45n + -45n Combine like terms: 45n + -45n = 0 9 + -36n = 42 + 0 9 + -36n = 42 Add '-9' to each side of the equation. 9 + -9 + -36n = 42 + -9 Combine like terms: 9 + -9 = 0 0 + -36n = 42 + -9 -36n = 42 + -9 Combine like terms: 42 + -9 = 33 -36n = 33 Divide each side by '-36'. n = -0.9166666667 Simplifying n = -0.9166666667
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