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Simplifying 32 + 6n = 5(8n + -4) Reorder the terms: 32 + 6n = 5(-4 + 8n) 32 + 6n = (-4 * 5 + 8n * 5) 32 + 6n = (-20 + 40n) Solving 32 + 6n = -20 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 32 + 6n + -40n = -20 + 40n + -40n Combine like terms: 6n + -40n = -34n 32 + -34n = -20 + 40n + -40n Combine like terms: 40n + -40n = 0 32 + -34n = -20 + 0 32 + -34n = -20 Add '-32' to each side of the equation. 32 + -32 + -34n = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -34n = -20 + -32 -34n = -20 + -32 Combine like terms: -20 + -32 = -52 -34n = -52 Divide each side by '-34'. n = 1.529411765 Simplifying n = 1.529411765
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