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Simplifying 0.8n + 0.4 = -4.1 + -0.7n Reorder the terms: 0.4 + 0.8n = -4.1 + -0.7n Solving 0.4 + 0.8n = -4.1 + -0.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.7n' to each side of the equation. 0.4 + 0.8n + 0.7n = -4.1 + -0.7n + 0.7n Combine like terms: 0.8n + 0.7n = 1.5n 0.4 + 1.5n = -4.1 + -0.7n + 0.7n Combine like terms: -0.7n + 0.7n = 0.0 0.4 + 1.5n = -4.1 + 0.0 0.4 + 1.5n = -4.1 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 1.5n = -4.1 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1.5n = -4.1 + -0.4 1.5n = -4.1 + -0.4 Combine like terms: -4.1 + -0.4 = -4.5 1.5n = -4.5 Divide each side by '1.5'. n = -3 Simplifying n = -3
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