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Simplifying 6(2n + 4) = 6(5n + 5) + 9 Reorder the terms: 6(4 + 2n) = 6(5n + 5) + 9 (4 * 6 + 2n * 6) = 6(5n + 5) + 9 (24 + 12n) = 6(5n + 5) + 9 Reorder the terms: 24 + 12n = 6(5 + 5n) + 9 24 + 12n = (5 * 6 + 5n * 6) + 9 24 + 12n = (30 + 30n) + 9 Reorder the terms: 24 + 12n = 30 + 9 + 30n Combine like terms: 30 + 9 = 39 24 + 12n = 39 + 30n Solving 24 + 12n = 39 + 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. 24 + 12n + -30n = 39 + 30n + -30n Combine like terms: 12n + -30n = -18n 24 + -18n = 39 + 30n + -30n Combine like terms: 30n + -30n = 0 24 + -18n = 39 + 0 24 + -18n = 39 Add '-24' to each side of the equation. 24 + -24 + -18n = 39 + -24 Combine like terms: 24 + -24 = 0 0 + -18n = 39 + -24 -18n = 39 + -24 Combine like terms: 39 + -24 = 15 -18n = 15 Divide each side by '-18'. n = -0.8333333333 Simplifying n = -0.8333333333
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