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Simplifying 10(3n + 3) = 2(10n + 6) + 4 Reorder the terms: 10(3 + 3n) = 2(10n + 6) + 4 (3 * 10 + 3n * 10) = 2(10n + 6) + 4 (30 + 30n) = 2(10n + 6) + 4 Reorder the terms: 30 + 30n = 2(6 + 10n) + 4 30 + 30n = (6 * 2 + 10n * 2) + 4 30 + 30n = (12 + 20n) + 4 Reorder the terms: 30 + 30n = 12 + 4 + 20n Combine like terms: 12 + 4 = 16 30 + 30n = 16 + 20n Solving 30 + 30n = 16 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 30 + 30n + -20n = 16 + 20n + -20n Combine like terms: 30n + -20n = 10n 30 + 10n = 16 + 20n + -20n Combine like terms: 20n + -20n = 0 30 + 10n = 16 + 0 30 + 10n = 16 Add '-30' to each side of the equation. 30 + -30 + 10n = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 10n = 16 + -30 10n = 16 + -30 Combine like terms: 16 + -30 = -14 10n = -14 Divide each side by '10'. n = -1.4 Simplifying n = -1.4
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