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Simplifying 9(2n + 4) = 6(5n + 9) + 6 Reorder the terms: 9(4 + 2n) = 6(5n + 9) + 6 (4 * 9 + 2n * 9) = 6(5n + 9) + 6 (36 + 18n) = 6(5n + 9) + 6 Reorder the terms: 36 + 18n = 6(9 + 5n) + 6 36 + 18n = (9 * 6 + 5n * 6) + 6 36 + 18n = (54 + 30n) + 6 Reorder the terms: 36 + 18n = 54 + 6 + 30n Combine like terms: 54 + 6 = 60 36 + 18n = 60 + 30n Solving 36 + 18n = 60 + 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. 36 + 18n + -30n = 60 + 30n + -30n Combine like terms: 18n + -30n = -12n 36 + -12n = 60 + 30n + -30n Combine like terms: 30n + -30n = 0 36 + -12n = 60 + 0 36 + -12n = 60 Add '-36' to each side of the equation. 36 + -36 + -12n = 60 + -36 Combine like terms: 36 + -36 = 0 0 + -12n = 60 + -36 -12n = 60 + -36 Combine like terms: 60 + -36 = 24 -12n = 24 Divide each side by '-12'. n = -2 Simplifying n = -2
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