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Simplifying 3(3n + 4) = 6(5n + 2) + 4 Reorder the terms: 3(4 + 3n) = 6(5n + 2) + 4 (4 * 3 + 3n * 3) = 6(5n + 2) + 4 (12 + 9n) = 6(5n + 2) + 4 Reorder the terms: 12 + 9n = 6(2 + 5n) + 4 12 + 9n = (2 * 6 + 5n * 6) + 4 12 + 9n = (12 + 30n) + 4 Reorder the terms: 12 + 9n = 12 + 4 + 30n Combine like terms: 12 + 4 = 16 12 + 9n = 16 + 30n Solving 12 + 9n = 16 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 12 + 9n + -30n = 16 + 30n + -30n Combine like terms: 9n + -30n = -21n 12 + -21n = 16 + 30n + -30n Combine like terms: 30n + -30n = 0 12 + -21n = 16 + 0 12 + -21n = 16 Add '-12' to each side of the equation. 12 + -12 + -21n = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -21n = 16 + -12 -21n = 16 + -12 Combine like terms: 16 + -12 = 4 -21n = 4 Divide each side by '-21'. n = -0.1904761905 Simplifying n = -0.1904761905
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