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Simplifying 9(3n + 3) = 8(9n + 9) + 1 Reorder the terms: 9(3 + 3n) = 8(9n + 9) + 1 (3 * 9 + 3n * 9) = 8(9n + 9) + 1 (27 + 27n) = 8(9n + 9) + 1 Reorder the terms: 27 + 27n = 8(9 + 9n) + 1 27 + 27n = (9 * 8 + 9n * 8) + 1 27 + 27n = (72 + 72n) + 1 Reorder the terms: 27 + 27n = 72 + 1 + 72n Combine like terms: 72 + 1 = 73 27 + 27n = 73 + 72n Solving 27 + 27n = 73 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 27 + 27n + -72n = 73 + 72n + -72n Combine like terms: 27n + -72n = -45n 27 + -45n = 73 + 72n + -72n Combine like terms: 72n + -72n = 0 27 + -45n = 73 + 0 27 + -45n = 73 Add '-27' to each side of the equation. 27 + -27 + -45n = 73 + -27 Combine like terms: 27 + -27 = 0 0 + -45n = 73 + -27 -45n = 73 + -27 Combine like terms: 73 + -27 = 46 -45n = 46 Divide each side by '-45'. n = -1.022222222 Simplifying n = -1.022222222
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