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Simplifying 6(2n + 4) = 9(5n + 2) + 2 Reorder the terms: 6(4 + 2n) = 9(5n + 2) + 2 (4 * 6 + 2n * 6) = 9(5n + 2) + 2 (24 + 12n) = 9(5n + 2) + 2 Reorder the terms: 24 + 12n = 9(2 + 5n) + 2 24 + 12n = (2 * 9 + 5n * 9) + 2 24 + 12n = (18 + 45n) + 2 Reorder the terms: 24 + 12n = 18 + 2 + 45n Combine like terms: 18 + 2 = 20 24 + 12n = 20 + 45n Solving 24 + 12n = 20 + 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. 24 + 12n + -45n = 20 + 45n + -45n Combine like terms: 12n + -45n = -33n 24 + -33n = 20 + 45n + -45n Combine like terms: 45n + -45n = 0 24 + -33n = 20 + 0 24 + -33n = 20 Add '-24' to each side of the equation. 24 + -24 + -33n = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -33n = 20 + -24 -33n = 20 + -24 Combine like terms: 20 + -24 = -4 -33n = -4 Divide each side by '-33'. n = 0.1212121212 Simplifying n = 0.1212121212
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