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Simplifying 5(2n + 2) = 6(5n + 6) + 6 Reorder the terms: 5(2 + 2n) = 6(5n + 6) + 6 (2 * 5 + 2n * 5) = 6(5n + 6) + 6 (10 + 10n) = 6(5n + 6) + 6 Reorder the terms: 10 + 10n = 6(6 + 5n) + 6 10 + 10n = (6 * 6 + 5n * 6) + 6 10 + 10n = (36 + 30n) + 6 Reorder the terms: 10 + 10n = 36 + 6 + 30n Combine like terms: 36 + 6 = 42 10 + 10n = 42 + 30n Solving 10 + 10n = 42 + 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. 10 + 10n + -30n = 42 + 30n + -30n Combine like terms: 10n + -30n = -20n 10 + -20n = 42 + 30n + -30n Combine like terms: 30n + -30n = 0 10 + -20n = 42 + 0 10 + -20n = 42 Add '-10' to each side of the equation. 10 + -10 + -20n = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -20n = 42 + -10 -20n = 42 + -10 Combine like terms: 42 + -10 = 32 -20n = 32 Divide each side by '-20'. n = -1.6 Simplifying n = -1.6
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