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Simplifying 40 + -8n = 4(3n + -5) Reorder the terms: 40 + -8n = 4(-5 + 3n) 40 + -8n = (-5 * 4 + 3n * 4) 40 + -8n = (-20 + 12n) Solving 40 + -8n = -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. 40 + -8n + -12n = -20 + 12n + -12n Combine like terms: -8n + -12n = -20n 40 + -20n = -20 + 12n + -12n Combine like terms: 12n + -12n = 0 40 + -20n = -20 + 0 40 + -20n = -20 Add '-40' to each side of the equation. 40 + -40 + -20n = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -20n = -20 + -40 -20n = -20 + -40 Combine like terms: -20 + -40 = -60 -20n = -60 Divide each side by '-20'. n = 3 Simplifying n = 3
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