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Simplifying 9(2n + 2) = 9(5n + 4) + 6 Reorder the terms: 9(2 + 2n) = 9(5n + 4) + 6 (2 * 9 + 2n * 9) = 9(5n + 4) + 6 (18 + 18n) = 9(5n + 4) + 6 Reorder the terms: 18 + 18n = 9(4 + 5n) + 6 18 + 18n = (4 * 9 + 5n * 9) + 6 18 + 18n = (36 + 45n) + 6 Reorder the terms: 18 + 18n = 36 + 6 + 45n Combine like terms: 36 + 6 = 42 18 + 18n = 42 + 45n Solving 18 + 18n = 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. 18 + 18n + -45n = 42 + 45n + -45n Combine like terms: 18n + -45n = -27n 18 + -27n = 42 + 45n + -45n Combine like terms: 45n + -45n = 0 18 + -27n = 42 + 0 18 + -27n = 42 Add '-18' to each side of the equation. 18 + -18 + -27n = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -27n = 42 + -18 -27n = 42 + -18 Combine like terms: 42 + -18 = 24 -27n = 24 Divide each side by '-27'. n = -0.8888888889 Simplifying n = -0.8888888889
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