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