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Simplifying 32 + 8n = -5(6n + -3) Reorder the terms: 32 + 8n = -5(-3 + 6n) 32 + 8n = (-3 * -5 + 6n * -5) 32 + 8n = (15 + -30n) Solving 32 + 8n = 15 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 32 + 8n + 30n = 15 + -30n + 30n Combine like terms: 8n + 30n = 38n 32 + 38n = 15 + -30n + 30n Combine like terms: -30n + 30n = 0 32 + 38n = 15 + 0 32 + 38n = 15 Add '-32' to each side of the equation. 32 + -32 + 38n = 15 + -32 Combine like terms: 32 + -32 = 0 0 + 38n = 15 + -32 38n = 15 + -32 Combine like terms: 15 + -32 = -17 38n = -17 Divide each side by '38'. n = -0.4473684211 Simplifying n = -0.4473684211
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