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Simplifying 0.5n + -2.3 + 4.7n = 8.10 Reorder the terms: -2.3 + 0.5n + 4.7n = 8.10 Combine like terms: 0.5n + 4.7n = 5.2n -2.3 + 5.2n = 8.10 Solving -2.3 + 5.2n = 8.10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + 2.3 + 5.2n = 8.10 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 5.2n = 8.10 + 2.3 5.2n = 8.10 + 2.3 Combine like terms: 8.10 + 2.3 = 10.4 5.2n = 10.4 Divide each side by '5.2'. n = 2 Simplifying n = 2
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