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