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Simplifying 7(3n + 3) = 6(2n + 2) + 9 Reorder the terms: 7(3 + 3n) = 6(2n + 2) + 9 (3 * 7 + 3n * 7) = 6(2n + 2) + 9 (21 + 21n) = 6(2n + 2) + 9 Reorder the terms: 21 + 21n = 6(2 + 2n) + 9 21 + 21n = (2 * 6 + 2n * 6) + 9 21 + 21n = (12 + 12n) + 9 Reorder the terms: 21 + 21n = 12 + 9 + 12n Combine like terms: 12 + 9 = 21 21 + 21n = 21 + 12n Add '-21' to each side of the equation. 21 + -21 + 21n = 21 + -21 + 12n Combine like terms: 21 + -21 = 0 0 + 21n = 21 + -21 + 12n 21n = 21 + -21 + 12n Combine like terms: 21 + -21 = 0 21n = 0 + 12n 21n = 12n Solving 21n = 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. 21n + -12n = 12n + -12n Combine like terms: 21n + -12n = 9n 9n = 12n + -12n Combine like terms: 12n + -12n = 0 9n = 0 Divide each side by '9'. n = 0 Simplifying n = 0
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