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Simplifying 9.2 + -5.7 = 4.6n + -3.6n + 0.1 Combine like terms: 9.2 + -5.7 = 3.5 3.5 = 4.6n + -3.6n + 0.1 Reorder the terms: 3.5 = 0.1 + 4.6n + -3.6n Combine like terms: 4.6n + -3.6n = 1n 3.5 = 0.1 + 1n Solving 3.5 = 0.1 + 1n 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. 3.5 + -1n = 0.1 + 1n + -1n Combine like terms: 1n + -1n = 0 3.5 + -1n = 0.1 + 0 3.5 + -1n = 0.1 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1n = 0.1 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1n = 0.1 + -3.5 -1n = 0.1 + -3.5 Combine like terms: 0.1 + -3.5 = -3.4 -1n = -3.4 Divide each side by '-1'. n = 3.4 Simplifying n = 3.4
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