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Simplifying 6(5n + 8) = 12(4 + -4n) Reorder the terms: 6(8 + 5n) = 12(4 + -4n) (8 * 6 + 5n * 6) = 12(4 + -4n) (48 + 30n) = 12(4 + -4n) 48 + 30n = (4 * 12 + -4n * 12) 48 + 30n = (48 + -48n) Add '-48' to each side of the equation. 48 + -48 + 30n = 48 + -48 + -48n Combine like terms: 48 + -48 = 0 0 + 30n = 48 + -48 + -48n 30n = 48 + -48 + -48n Combine like terms: 48 + -48 = 0 30n = 0 + -48n 30n = -48n Solving 30n = -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 30n + 48n = -48n + 48n Combine like terms: 30n + 48n = 78n 78n = -48n + 48n Combine like terms: -48n + 48n = 0 78n = 0 Divide each side by '78'. n = 0 Simplifying n = 0
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