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Simplifying n2 + 3n + -8 = n2 + -5n + -32 Reorder the terms: -8 + 3n + n2 = n2 + -5n + -32 Reorder the terms: -8 + 3n + n2 = -32 + -5n + n2 Add '-1n2' to each side of the equation. -8 + 3n + n2 + -1n2 = -32 + -5n + n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -8 + 3n + 0 = -32 + -5n + n2 + -1n2 -8 + 3n = -32 + -5n + n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -8 + 3n = -32 + -5n + 0 -8 + 3n = -32 + -5n Solving -8 + 3n = -32 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -8 + 3n + 5n = -32 + -5n + 5n Combine like terms: 3n + 5n = 8n -8 + 8n = -32 + -5n + 5n Combine like terms: -5n + 5n = 0 -8 + 8n = -32 + 0 -8 + 8n = -32 Add '8' to each side of the equation. -8 + 8 + 8n = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 8n = -32 + 8 8n = -32 + 8 Combine like terms: -32 + 8 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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