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Simplifying 5.7n + -0.6 + 1.8 = 0.3 + 5.4n Reorder the terms: -0.6 + 1.8 + 5.7n = 0.3 + 5.4n Combine like terms: -0.6 + 1.8 = 1.2 1.2 + 5.7n = 0.3 + 5.4n Solving 1.2 + 5.7n = 0.3 + 5.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.4n' to each side of the equation. 1.2 + 5.7n + -5.4n = 0.3 + 5.4n + -5.4n Combine like terms: 5.7n + -5.4n = 0.3n 1.2 + 0.3n = 0.3 + 5.4n + -5.4n Combine like terms: 5.4n + -5.4n = 0.0 1.2 + 0.3n = 0.3 + 0.0 1.2 + 0.3n = 0.3 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.3n = 0.3 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.3n = 0.3 + -1.2 0.3n = 0.3 + -1.2 Combine like terms: 0.3 + -1.2 = -0.9 0.3n = -0.9 Divide each side by '0.3'. n = -3 Simplifying n = -3
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