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Simplifying 3.1n + 8.4 = -3.5n + 3.1n Reorder the terms: 8.4 + 3.1n = -3.5n + 3.1n Combine like terms: -3.5n + 3.1n = -0.4n 8.4 + 3.1n = -0.4n Solving 8.4 + 3.1n = -0.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.4n' to each side of the equation. 8.4 + 3.1n + 0.4n = -0.4n + 0.4n Combine like terms: 3.1n + 0.4n = 3.5n 8.4 + 3.5n = -0.4n + 0.4n Combine like terms: -0.4n + 0.4n = 0.0 8.4 + 3.5n = 0.0 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 3.5n = 0.0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 3.5n = 0.0 + -8.4 3.5n = 0.0 + -8.4 Combine like terms: 0.0 + -8.4 = -8.4 3.5n = -8.4 Divide each side by '3.5'. n = -2.4 Simplifying n = -2.4
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