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Simplifying 32 + 8n = 7n + -8(-4 + -5n) 32 + 8n = 7n + (-4 * -8 + -5n * -8) 32 + 8n = 7n + (32 + 40n) Reorder the terms: 32 + 8n = 32 + 7n + 40n Combine like terms: 7n + 40n = 47n 32 + 8n = 32 + 47n Add '-32' to each side of the equation. 32 + -32 + 8n = 32 + -32 + 47n Combine like terms: 32 + -32 = 0 0 + 8n = 32 + -32 + 47n 8n = 32 + -32 + 47n Combine like terms: 32 + -32 = 0 8n = 0 + 47n 8n = 47n Solving 8n = 47n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-47n' to each side of the equation. 8n + -47n = 47n + -47n Combine like terms: 8n + -47n = -39n -39n = 47n + -47n Combine like terms: 47n + -47n = 0 -39n = 0 Divide each side by '-39'. n = 0 Simplifying n = 0
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