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Simplifying 32 + -5n = 3n + 8 Reorder the terms: 32 + -5n = 8 + 3n Solving 32 + -5n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 32 + -5n + -3n = 8 + 3n + -3n Combine like terms: -5n + -3n = -8n 32 + -8n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 32 + -8n = 8 + 0 32 + -8n = 8 Add '-32' to each side of the equation. 32 + -32 + -8n = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -8n = 8 + -32 -8n = 8 + -32 Combine like terms: 8 + -32 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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