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Simplifying 4n + 32 = 8n + -9 + 14 Reorder the terms: 32 + 4n = 8n + -9 + 14 Reorder the terms: 32 + 4n = -9 + 14 + 8n Combine like terms: -9 + 14 = 5 32 + 4n = 5 + 8n Solving 32 + 4n = 5 + 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. 32 + 4n + -8n = 5 + 8n + -8n Combine like terms: 4n + -8n = -4n 32 + -4n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 32 + -4n = 5 + 0 32 + -4n = 5 Add '-32' to each side of the equation. 32 + -32 + -4n = 5 + -32 Combine like terms: 32 + -32 = 0 0 + -4n = 5 + -32 -4n = 5 + -32 Combine like terms: 5 + -32 = -27 -4n = -27 Divide each side by '-4'. n = 6.75 Simplifying n = 6.75
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