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Simplifying 8.6n + 7.8 = n + 45.5 Reorder the terms: 7.8 + 8.6n = n + 45.5 Reorder the terms: 7.8 + 8.6n = 45.5 + n Solving 7.8 + 8.6n = 45.5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 7.8 + 8.6n + -1n = 45.5 + n + -1n Combine like terms: 8.6n + -1n = 7.6n 7.8 + 7.6n = 45.5 + n + -1n Combine like terms: n + -1n = 0 7.8 + 7.6n = 45.5 + 0 7.8 + 7.6n = 45.5 Add '-7.8' to each side of the equation. 7.8 + -7.8 + 7.6n = 45.5 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 7.6n = 45.5 + -7.8 7.6n = 45.5 + -7.8 Combine like terms: 45.5 + -7.8 = 37.7 7.6n = 37.7 Divide each side by '7.6'. n = 4.960526316 Simplifying n = 4.960526316
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