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Simplifying 9(3n + 2) = 9(5n + 7) + 3 Reorder the terms: 9(2 + 3n) = 9(5n + 7) + 3 (2 * 9 + 3n * 9) = 9(5n + 7) + 3 (18 + 27n) = 9(5n + 7) + 3 Reorder the terms: 18 + 27n = 9(7 + 5n) + 3 18 + 27n = (7 * 9 + 5n * 9) + 3 18 + 27n = (63 + 45n) + 3 Reorder the terms: 18 + 27n = 63 + 3 + 45n Combine like terms: 63 + 3 = 66 18 + 27n = 66 + 45n Solving 18 + 27n = 66 + 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. 18 + 27n + -45n = 66 + 45n + -45n Combine like terms: 27n + -45n = -18n 18 + -18n = 66 + 45n + -45n Combine like terms: 45n + -45n = 0 18 + -18n = 66 + 0 18 + -18n = 66 Add '-18' to each side of the equation. 18 + -18 + -18n = 66 + -18 Combine like terms: 18 + -18 = 0 0 + -18n = 66 + -18 -18n = 66 + -18 Combine like terms: 66 + -18 = 48 -18n = 48 Divide each side by '-18'. n = -2.666666667 Simplifying n = -2.666666667
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