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Simplifying 5n + -14 = -32 + 8n Reorder the terms: -14 + 5n = -32 + 8n Solving -14 + 5n = -32 + 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. -14 + 5n + -8n = -32 + 8n + -8n Combine like terms: 5n + -8n = -3n -14 + -3n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + -3n = -32 + 0 -14 + -3n = -32 Add '14' to each side of the equation. -14 + 14 + -3n = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = -32 + 14 -3n = -32 + 14 Combine like terms: -32 + 14 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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