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Simplifying 1 + 3.5n + -4.6 = -0.65 + 4.8n + -0.8n Reorder the terms: 1 + -4.6 + 3.5n = -0.65 + 4.8n + -0.8n Combine like terms: 1 + -4.6 = -3.6 -3.6 + 3.5n = -0.65 + 4.8n + -0.8n Combine like terms: 4.8n + -0.8n = 4n -3.6 + 3.5n = -0.65 + 4n Solving -3.6 + 3.5n = -0.65 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -3.6 + 3.5n + -4n = -0.65 + 4n + -4n Combine like terms: 3.5n + -4n = -0.5n -3.6 + -0.5n = -0.65 + 4n + -4n Combine like terms: 4n + -4n = 0 -3.6 + -0.5n = -0.65 + 0 -3.6 + -0.5n = -0.65 Add '3.6' to each side of the equation. -3.6 + 3.6 + -0.5n = -0.65 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -0.5n = -0.65 + 3.6 -0.5n = -0.65 + 3.6 Combine like terms: -0.65 + 3.6 = 2.95 -0.5n = 2.95 Divide each side by '-0.5'. n = -5.9 Simplifying n = -5.9
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