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Simplifying 7(3n + 1) = 6(2n + 3) + 2 Reorder the terms: 7(1 + 3n) = 6(2n + 3) + 2 (1 * 7 + 3n * 7) = 6(2n + 3) + 2 (7 + 21n) = 6(2n + 3) + 2 Reorder the terms: 7 + 21n = 6(3 + 2n) + 2 7 + 21n = (3 * 6 + 2n * 6) + 2 7 + 21n = (18 + 12n) + 2 Reorder the terms: 7 + 21n = 18 + 2 + 12n Combine like terms: 18 + 2 = 20 7 + 21n = 20 + 12n Solving 7 + 21n = 20 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 7 + 21n + -12n = 20 + 12n + -12n Combine like terms: 21n + -12n = 9n 7 + 9n = 20 + 12n + -12n Combine like terms: 12n + -12n = 0 7 + 9n = 20 + 0 7 + 9n = 20 Add '-7' to each side of the equation. 7 + -7 + 9n = 20 + -7 Combine like terms: 7 + -7 = 0 0 + 9n = 20 + -7 9n = 20 + -7 Combine like terms: 20 + -7 = 13 9n = 13 Divide each side by '9'. n = 1.444444444 Simplifying n = 1.444444444
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