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Simplifying 6(2n + 3) = 9(5n + 9) + 5 Reorder the terms: 6(3 + 2n) = 9(5n + 9) + 5 (3 * 6 + 2n * 6) = 9(5n + 9) + 5 (18 + 12n) = 9(5n + 9) + 5 Reorder the terms: 18 + 12n = 9(9 + 5n) + 5 18 + 12n = (9 * 9 + 5n * 9) + 5 18 + 12n = (81 + 45n) + 5 Reorder the terms: 18 + 12n = 81 + 5 + 45n Combine like terms: 81 + 5 = 86 18 + 12n = 86 + 45n Solving 18 + 12n = 86 + 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 + 12n + -45n = 86 + 45n + -45n Combine like terms: 12n + -45n = -33n 18 + -33n = 86 + 45n + -45n Combine like terms: 45n + -45n = 0 18 + -33n = 86 + 0 18 + -33n = 86 Add '-18' to each side of the equation. 18 + -18 + -33n = 86 + -18 Combine like terms: 18 + -18 = 0 0 + -33n = 86 + -18 -33n = 86 + -18 Combine like terms: 86 + -18 = 68 -33n = 68 Divide each side by '-33'. n = -2.060606061 Simplifying n = -2.060606061
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