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Simplifying 0.8n + 5.97 = 5.158 + -0.6n Reorder the terms: 5.97 + 0.8n = 5.158 + -0.6n Solving 5.97 + 0.8n = 5.158 + -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. 5.97 + 0.8n + 0.6n = 5.158 + -0.6n + 0.6n Combine like terms: 0.8n + 0.6n = 1.4n 5.97 + 1.4n = 5.158 + -0.6n + 0.6n Combine like terms: -0.6n + 0.6n = 0.0 5.97 + 1.4n = 5.158 + 0.0 5.97 + 1.4n = 5.158 Add '-5.97' to each side of the equation. 5.97 + -5.97 + 1.4n = 5.158 + -5.97 Combine like terms: 5.97 + -5.97 = 0.00 0.00 + 1.4n = 5.158 + -5.97 1.4n = 5.158 + -5.97 Combine like terms: 5.158 + -5.97 = -0.812 1.4n = -0.812 Divide each side by '1.4'. n = -0.58 Simplifying n = -0.58
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