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Simplifying 4n + 6n + 15 = 4n + 21 Reorder the terms: 15 + 4n + 6n = 4n + 21 Combine like terms: 4n + 6n = 10n 15 + 10n = 4n + 21 Reorder the terms: 15 + 10n = 21 + 4n Solving 15 + 10n = 21 + 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. 15 + 10n + -4n = 21 + 4n + -4n Combine like terms: 10n + -4n = 6n 15 + 6n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 15 + 6n = 21 + 0 15 + 6n = 21 Add '-15' to each side of the equation. 15 + -15 + 6n = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = 21 + -15 6n = 21 + -15 Combine like terms: 21 + -15 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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