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Simplifying 8.5n + -7.5n + 7.8 = 3.5 + 9.7 Reorder the terms: 7.8 + 8.5n + -7.5n = 3.5 + 9.7 Combine like terms: 8.5n + -7.5n = 1n 7.8 + 1n = 3.5 + 9.7 Combine like terms: 3.5 + 9.7 = 13.2 7.8 + 1n = 13.2 Solving 7.8 + 1n = 13.2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.8' to each side of the equation. 7.8 + -7.8 + 1n = 13.2 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 1n = 13.2 + -7.8 1n = 13.2 + -7.8 Combine like terms: 13.2 + -7.8 = 5.4 1n = 5.4 Divide each side by '1'. n = 5.4 Simplifying n = 5.4
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