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Simplifying 3(3n + 1) = 6(5n + 4) + 4 Reorder the terms: 3(1 + 3n) = 6(5n + 4) + 4 (1 * 3 + 3n * 3) = 6(5n + 4) + 4 (3 + 9n) = 6(5n + 4) + 4 Reorder the terms: 3 + 9n = 6(4 + 5n) + 4 3 + 9n = (4 * 6 + 5n * 6) + 4 3 + 9n = (24 + 30n) + 4 Reorder the terms: 3 + 9n = 24 + 4 + 30n Combine like terms: 24 + 4 = 28 3 + 9n = 28 + 30n Solving 3 + 9n = 28 + 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. 3 + 9n + -30n = 28 + 30n + -30n Combine like terms: 9n + -30n = -21n 3 + -21n = 28 + 30n + -30n Combine like terms: 30n + -30n = 0 3 + -21n = 28 + 0 3 + -21n = 28 Add '-3' to each side of the equation. 3 + -3 + -21n = 28 + -3 Combine like terms: 3 + -3 = 0 0 + -21n = 28 + -3 -21n = 28 + -3 Combine like terms: 28 + -3 = 25 -21n = 25 Divide each side by '-21'. n = -1.19047619 Simplifying n = -1.19047619
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