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Simplifying -5(4 + 6n) + -8n = 40 + -8n (4 * -5 + 6n * -5) + -8n = 40 + -8n (-20 + -30n) + -8n = 40 + -8n Combine like terms: -30n + -8n = -38n -20 + -38n = 40 + -8n Solving -20 + -38n = 40 + -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 + -38n + 8n = 40 + -8n + 8n Combine like terms: -38n + 8n = -30n -20 + -30n = 40 + -8n + 8n Combine like terms: -8n + 8n = 0 -20 + -30n = 40 + 0 -20 + -30n = 40 Add '20' to each side of the equation. -20 + 20 + -30n = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -30n = 40 + 20 -30n = 40 + 20 Combine like terms: 40 + 20 = 60 -30n = 60 Divide each side by '-30'. n = -2 Simplifying n = -2
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