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Simplifying 0.4(n + -32) = 0.8n Reorder the terms: 0.4(-32 + n) = 0.8n (-32 * 0.4 + n * 0.4) = 0.8n (-12.8 + 0.4n) = 0.8n Solving -12.8 + 0.4n = 0.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.8n' to each side of the equation. -12.8 + 0.4n + -0.8n = 0.8n + -0.8n Combine like terms: 0.4n + -0.8n = -0.4n -12.8 + -0.4n = 0.8n + -0.8n Combine like terms: 0.8n + -0.8n = 0.0 -12.8 + -0.4n = 0.0 Add '12.8' to each side of the equation. -12.8 + 12.8 + -0.4n = 0.0 + 12.8 Combine like terms: -12.8 + 12.8 = 0.0 0.0 + -0.4n = 0.0 + 12.8 -0.4n = 0.0 + 12.8 Combine like terms: 0.0 + 12.8 = 12.8 -0.4n = 12.8 Divide each side by '-0.4'. n = -32 Simplifying n = -32
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