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Simplifying 6n + 9 = 0.2n + -2.5 Reorder the terms: 9 + 6n = 0.2n + -2.5 Reorder the terms: 9 + 6n = -2.5 + 0.2n Solving 9 + 6n = -2.5 + 0.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.2n' to each side of the equation. 9 + 6n + -0.2n = -2.5 + 0.2n + -0.2n Combine like terms: 6n + -0.2n = 5.8n 9 + 5.8n = -2.5 + 0.2n + -0.2n Combine like terms: 0.2n + -0.2n = 0.0 9 + 5.8n = -2.5 + 0.0 9 + 5.8n = -2.5 Add '-9' to each side of the equation. 9 + -9 + 5.8n = -2.5 + -9 Combine like terms: 9 + -9 = 0 0 + 5.8n = -2.5 + -9 5.8n = -2.5 + -9 Combine like terms: -2.5 + -9 = -11.5 5.8n = -11.5 Divide each side by '5.8'. n = -1.982758621 Simplifying n = -1.982758621
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