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Simplifying 4(3n + 2) = 6(4 + -5n) Reorder the terms: 4(2 + 3n) = 6(4 + -5n) (2 * 4 + 3n * 4) = 6(4 + -5n) (8 + 12n) = 6(4 + -5n) 8 + 12n = (4 * 6 + -5n * 6) 8 + 12n = (24 + -30n) Solving 8 + 12n = 24 + -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. 8 + 12n + 30n = 24 + -30n + 30n Combine like terms: 12n + 30n = 42n 8 + 42n = 24 + -30n + 30n Combine like terms: -30n + 30n = 0 8 + 42n = 24 + 0 8 + 42n = 24 Add '-8' to each side of the equation. 8 + -8 + 42n = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 42n = 24 + -8 42n = 24 + -8 Combine like terms: 24 + -8 = 16 42n = 16 Divide each side by '42'. n = 0.380952381 Simplifying n = 0.380952381
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