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Simplifying 2(3n + 4) = 6(5n + 6) + 7 Reorder the terms: 2(4 + 3n) = 6(5n + 6) + 7 (4 * 2 + 3n * 2) = 6(5n + 6) + 7 (8 + 6n) = 6(5n + 6) + 7 Reorder the terms: 8 + 6n = 6(6 + 5n) + 7 8 + 6n = (6 * 6 + 5n * 6) + 7 8 + 6n = (36 + 30n) + 7 Reorder the terms: 8 + 6n = 36 + 7 + 30n Combine like terms: 36 + 7 = 43 8 + 6n = 43 + 30n Solving 8 + 6n = 43 + 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 + 6n + -30n = 43 + 30n + -30n Combine like terms: 6n + -30n = -24n 8 + -24n = 43 + 30n + -30n Combine like terms: 30n + -30n = 0 8 + -24n = 43 + 0 8 + -24n = 43 Add '-8' to each side of the equation. 8 + -8 + -24n = 43 + -8 Combine like terms: 8 + -8 = 0 0 + -24n = 43 + -8 -24n = 43 + -8 Combine like terms: 43 + -8 = 35 -24n = 35 Divide each side by '-24'. n = -1.458333333 Simplifying n = -1.458333333
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