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Simplifying 9(2n + 2) = 6(5n + 5) + 2 Reorder the terms: 9(2 + 2n) = 6(5n + 5) + 2 (2 * 9 + 2n * 9) = 6(5n + 5) + 2 (18 + 18n) = 6(5n + 5) + 2 Reorder the terms: 18 + 18n = 6(5 + 5n) + 2 18 + 18n = (5 * 6 + 5n * 6) + 2 18 + 18n = (30 + 30n) + 2 Reorder the terms: 18 + 18n = 30 + 2 + 30n Combine like terms: 30 + 2 = 32 18 + 18n = 32 + 30n Solving 18 + 18n = 32 + 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 = 32 + 30n + -30n Combine like terms: 18n + -30n = -12n 18 + -12n = 32 + 30n + -30n Combine like terms: 30n + -30n = 0 18 + -12n = 32 + 0 18 + -12n = 32 Add '-18' to each side of the equation. 18 + -18 + -12n = 32 + -18 Combine like terms: 18 + -18 = 0 0 + -12n = 32 + -18 -12n = 32 + -18 Combine like terms: 32 + -18 = 14 -12n = 14 Divide each side by '-12'. n = -1.166666667 Simplifying n = -1.166666667
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