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Simplifying 6(2n + 3) = 7(4n + 1) + 9 Reorder the terms: 6(3 + 2n) = 7(4n + 1) + 9 (3 * 6 + 2n * 6) = 7(4n + 1) + 9 (18 + 12n) = 7(4n + 1) + 9 Reorder the terms: 18 + 12n = 7(1 + 4n) + 9 18 + 12n = (1 * 7 + 4n * 7) + 9 18 + 12n = (7 + 28n) + 9 Reorder the terms: 18 + 12n = 7 + 9 + 28n Combine like terms: 7 + 9 = 16 18 + 12n = 16 + 28n Solving 18 + 12n = 16 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 18 + 12n + -28n = 16 + 28n + -28n Combine like terms: 12n + -28n = -16n 18 + -16n = 16 + 28n + -28n Combine like terms: 28n + -28n = 0 18 + -16n = 16 + 0 18 + -16n = 16 Add '-18' to each side of the equation. 18 + -18 + -16n = 16 + -18 Combine like terms: 18 + -18 = 0 0 + -16n = 16 + -18 -16n = 16 + -18 Combine like terms: 16 + -18 = -2 -16n = -2 Divide each side by '-16'. n = 0.125 Simplifying n = 0.125
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