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Simplifying 6(2n + 3) = 6(5n + 8) + 6 Reorder the terms: 6(3 + 2n) = 6(5n + 8) + 6 (3 * 6 + 2n * 6) = 6(5n + 8) + 6 (18 + 12n) = 6(5n + 8) + 6 Reorder the terms: 18 + 12n = 6(8 + 5n) + 6 18 + 12n = (8 * 6 + 5n * 6) + 6 18 + 12n = (48 + 30n) + 6 Reorder the terms: 18 + 12n = 48 + 6 + 30n Combine like terms: 48 + 6 = 54 18 + 12n = 54 + 30n Solving 18 + 12n = 54 + 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. 18 + 12n + -30n = 54 + 30n + -30n Combine like terms: 12n + -30n = -18n 18 + -18n = 54 + 30n + -30n Combine like terms: 30n + -30n = 0 18 + -18n = 54 + 0 18 + -18n = 54 Add '-18' to each side of the equation. 18 + -18 + -18n = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -18n = 54 + -18 -18n = 54 + -18 Combine like terms: 54 + -18 = 36 -18n = 36 Divide each side by '-18'. n = -2 Simplifying n = -2
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