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Simplifying 9n + 9(5n + -2) = 7(4 + 11n) Reorder the terms: 9n + 9(-2 + 5n) = 7(4 + 11n) 9n + (-2 * 9 + 5n * 9) = 7(4 + 11n) 9n + (-18 + 45n) = 7(4 + 11n) Reorder the terms: -18 + 9n + 45n = 7(4 + 11n) Combine like terms: 9n + 45n = 54n -18 + 54n = 7(4 + 11n) -18 + 54n = (4 * 7 + 11n * 7) -18 + 54n = (28 + 77n) Solving -18 + 54n = 28 + 77n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-77n' to each side of the equation. -18 + 54n + -77n = 28 + 77n + -77n Combine like terms: 54n + -77n = -23n -18 + -23n = 28 + 77n + -77n Combine like terms: 77n + -77n = 0 -18 + -23n = 28 + 0 -18 + -23n = 28 Add '18' to each side of the equation. -18 + 18 + -23n = 28 + 18 Combine like terms: -18 + 18 = 0 0 + -23n = 28 + 18 -23n = 28 + 18 Combine like terms: 28 + 18 = 46 -23n = 46 Divide each side by '-23'. n = -2 Simplifying n = -2
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