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Simplifying 4(-5 + -1n) = -4n + -4(-3n + 8) (-5 * 4 + -1n * 4) = -4n + -4(-3n + 8) (-20 + -4n) = -4n + -4(-3n + 8) Reorder the terms: -20 + -4n = -4n + -4(8 + -3n) -20 + -4n = -4n + (8 * -4 + -3n * -4) -20 + -4n = -4n + (-32 + 12n) Reorder the terms: -20 + -4n = -32 + -4n + 12n Combine like terms: -4n + 12n = 8n -20 + -4n = -32 + 8n Solving -20 + -4n = -32 + 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. -20 + -4n + -8n = -32 + 8n + -8n Combine like terms: -4n + -8n = -12n -20 + -12n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 -20 + -12n = -32 + 0 -20 + -12n = -32 Add '20' to each side of the equation. -20 + 20 + -12n = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -12n = -32 + 20 -12n = -32 + 20 Combine like terms: -32 + 20 = -12 -12n = -12 Divide each side by '-12'. n = 1 Simplifying n = 1
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