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Simplifying 6n + 4n + 30 = 90 + -10n Reorder the terms: 30 + 6n + 4n = 90 + -10n Combine like terms: 6n + 4n = 10n 30 + 10n = 90 + -10n Solving 30 + 10n = 90 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 30 + 10n + 10n = 90 + -10n + 10n Combine like terms: 10n + 10n = 20n 30 + 20n = 90 + -10n + 10n Combine like terms: -10n + 10n = 0 30 + 20n = 90 + 0 30 + 20n = 90 Add '-30' to each side of the equation. 30 + -30 + 20n = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 20n = 90 + -30 20n = 90 + -30 Combine like terms: 90 + -30 = 60 20n = 60 Divide each side by '20'. n = 3 Simplifying n = 3
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