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Simplifying 9(3n + 1) = 9(5n + 6) + 3 Reorder the terms: 9(1 + 3n) = 9(5n + 6) + 3 (1 * 9 + 3n * 9) = 9(5n + 6) + 3 (9 + 27n) = 9(5n + 6) + 3 Reorder the terms: 9 + 27n = 9(6 + 5n) + 3 9 + 27n = (6 * 9 + 5n * 9) + 3 9 + 27n = (54 + 45n) + 3 Reorder the terms: 9 + 27n = 54 + 3 + 45n Combine like terms: 54 + 3 = 57 9 + 27n = 57 + 45n Solving 9 + 27n = 57 + 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 + 27n + -45n = 57 + 45n + -45n Combine like terms: 27n + -45n = -18n 9 + -18n = 57 + 45n + -45n Combine like terms: 45n + -45n = 0 9 + -18n = 57 + 0 9 + -18n = 57 Add '-9' to each side of the equation. 9 + -9 + -18n = 57 + -9 Combine like terms: 9 + -9 = 0 0 + -18n = 57 + -9 -18n = 57 + -9 Combine like terms: 57 + -9 = 48 -18n = 48 Divide each side by '-18'. n = -2.666666667 Simplifying n = -2.666666667
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