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Simplifying -4(5n + -1) = 4(-5 + -3n) Reorder the terms: -4(-1 + 5n) = 4(-5 + -3n) (-1 * -4 + 5n * -4) = 4(-5 + -3n) (4 + -20n) = 4(-5 + -3n) 4 + -20n = (-5 * 4 + -3n * 4) 4 + -20n = (-20 + -12n) Solving 4 + -20n = -20 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 4 + -20n + 12n = -20 + -12n + 12n Combine like terms: -20n + 12n = -8n 4 + -8n = -20 + -12n + 12n Combine like terms: -12n + 12n = 0 4 + -8n = -20 + 0 4 + -8n = -20 Add '-4' to each side of the equation. 4 + -4 + -8n = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -8n = -20 + -4 -8n = -20 + -4 Combine like terms: -20 + -4 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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