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Simplifying 80 = 4(n + 5) + 6n Reorder the terms: 80 = 4(5 + n) + 6n 80 = (5 * 4 + n * 4) + 6n 80 = (20 + 4n) + 6n Combine like terms: 4n + 6n = 10n 80 = 20 + 10n Solving 80 = 20 + 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. 80 + -10n = 20 + 10n + -10n Combine like terms: 10n + -10n = 0 80 + -10n = 20 + 0 80 + -10n = 20 Add '-80' to each side of the equation. 80 + -80 + -10n = 20 + -80 Combine like terms: 80 + -80 = 0 0 + -10n = 20 + -80 -10n = 20 + -80 Combine like terms: 20 + -80 = -60 -10n = -60 Divide each side by '-10'. n = 6 Simplifying n = 6
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