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Simplifying 27 + 4n + 4.5n = 78 Combine like terms: 4n + 4.5n = 8.5n 27 + 8.5n = 78 Solving 27 + 8.5n = 78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8.5n = 78 + -27 Combine like terms: 27 + -27 = 0 0 + 8.5n = 78 + -27 8.5n = 78 + -27 Combine like terms: 78 + -27 = 51 8.5n = 51 Divide each side by '8.5'. n = 6 Simplifying n = 6
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