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Simplifying 12.7n + 19.78 = 8.1n Reorder the terms: 19.78 + 12.7n = 8.1n Solving 19.78 + 12.7n = 8.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8.1n' to each side of the equation. 19.78 + 12.7n + -8.1n = 8.1n + -8.1n Combine like terms: 12.7n + -8.1n = 4.6n 19.78 + 4.6n = 8.1n + -8.1n Combine like terms: 8.1n + -8.1n = 0.0 19.78 + 4.6n = 0.0 Add '-19.78' to each side of the equation. 19.78 + -19.78 + 4.6n = 0.0 + -19.78 Combine like terms: 19.78 + -19.78 = 0.00 0.00 + 4.6n = 0.0 + -19.78 4.6n = 0.0 + -19.78 Combine like terms: 0.0 + -19.78 = -19.78 4.6n = -19.78 Divide each side by '4.6'. n = -4.3 Simplifying n = -4.3
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