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Simplifying 6(2n + 3) = 6(4n + 1) + 1 Reorder the terms: 6(3 + 2n) = 6(4n + 1) + 1 (3 * 6 + 2n * 6) = 6(4n + 1) + 1 (18 + 12n) = 6(4n + 1) + 1 Reorder the terms: 18 + 12n = 6(1 + 4n) + 1 18 + 12n = (1 * 6 + 4n * 6) + 1 18 + 12n = (6 + 24n) + 1 Reorder the terms: 18 + 12n = 6 + 1 + 24n Combine like terms: 6 + 1 = 7 18 + 12n = 7 + 24n Solving 18 + 12n = 7 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 18 + 12n + -24n = 7 + 24n + -24n Combine like terms: 12n + -24n = -12n 18 + -12n = 7 + 24n + -24n Combine like terms: 24n + -24n = 0 18 + -12n = 7 + 0 18 + -12n = 7 Add '-18' to each side of the equation. 18 + -18 + -12n = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -12n = 7 + -18 -12n = 7 + -18 Combine like terms: 7 + -18 = -11 -12n = -11 Divide each side by '-12'. n = 0.9166666667 Simplifying n = 0.9166666667
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