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Simplifying 4(3n + 1) = 9(5n + 8) + 5 Reorder the terms: 4(1 + 3n) = 9(5n + 8) + 5 (1 * 4 + 3n * 4) = 9(5n + 8) + 5 (4 + 12n) = 9(5n + 8) + 5 Reorder the terms: 4 + 12n = 9(8 + 5n) + 5 4 + 12n = (8 * 9 + 5n * 9) + 5 4 + 12n = (72 + 45n) + 5 Reorder the terms: 4 + 12n = 72 + 5 + 45n Combine like terms: 72 + 5 = 77 4 + 12n = 77 + 45n Solving 4 + 12n = 77 + 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. 4 + 12n + -45n = 77 + 45n + -45n Combine like terms: 12n + -45n = -33n 4 + -33n = 77 + 45n + -45n Combine like terms: 45n + -45n = 0 4 + -33n = 77 + 0 4 + -33n = 77 Add '-4' to each side of the equation. 4 + -4 + -33n = 77 + -4 Combine like terms: 4 + -4 = 0 0 + -33n = 77 + -4 -33n = 77 + -4 Combine like terms: 77 + -4 = 73 -33n = 73 Divide each side by '-33'. n = -2.212121212 Simplifying n = -2.212121212
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