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Simplifying 9 + 10n + -3 = 9n + 30 + -5n Reorder the terms: 9 + -3 + 10n = 9n + 30 + -5n Combine like terms: 9 + -3 = 6 6 + 10n = 9n + 30 + -5n Reorder the terms: 6 + 10n = 30 + 9n + -5n Combine like terms: 9n + -5n = 4n 6 + 10n = 30 + 4n Solving 6 + 10n = 30 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 6 + 10n + -4n = 30 + 4n + -4n Combine like terms: 10n + -4n = 6n 6 + 6n = 30 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + 6n = 30 + 0 6 + 6n = 30 Add '-6' to each side of the equation. 6 + -6 + 6n = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = 30 + -6 6n = 30 + -6 Combine like terms: 30 + -6 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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