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Simplifying 4(5n + -3) = 8n Reorder the terms: 4(-3 + 5n) = 8n (-3 * 4 + 5n * 4) = 8n (-12 + 20n) = 8n Solving -12 + 20n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -12 + 20n + -8n = 8n + -8n Combine like terms: 20n + -8n = 12n -12 + 12n = 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 12n = 0 Add '12' to each side of the equation. -12 + 12 + 12n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12n = 0 + 12 12n = 0 + 12 Combine like terms: 0 + 12 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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