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Simplifying 0.8n + 1.22 = 0.408 + -0.6n Reorder the terms: 1.22 + 0.8n = 0.408 + -0.6n Solving 1.22 + 0.8n = 0.408 + -0.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.6n' to each side of the equation. 1.22 + 0.8n + 0.6n = 0.408 + -0.6n + 0.6n Combine like terms: 0.8n + 0.6n = 1.4n 1.22 + 1.4n = 0.408 + -0.6n + 0.6n Combine like terms: -0.6n + 0.6n = 0.0 1.22 + 1.4n = 0.408 + 0.0 1.22 + 1.4n = 0.408 Add '-1.22' to each side of the equation. 1.22 + -1.22 + 1.4n = 0.408 + -1.22 Combine like terms: 1.22 + -1.22 = 0.00 0.00 + 1.4n = 0.408 + -1.22 1.4n = 0.408 + -1.22 Combine like terms: 0.408 + -1.22 = -0.812 1.4n = -0.812 Divide each side by '1.4'. n = -0.58 Simplifying n = -0.58
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