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Simplifying 3(n + -7) = -32 + -8n Reorder the terms: 3(-7 + n) = -32 + -8n (-7 * 3 + n * 3) = -32 + -8n (-21 + 3n) = -32 + -8n Solving -21 + 3n = -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. -21 + 3n + 8n = -32 + -8n + 8n Combine like terms: 3n + 8n = 11n -21 + 11n = -32 + -8n + 8n Combine like terms: -8n + 8n = 0 -21 + 11n = -32 + 0 -21 + 11n = -32 Add '21' to each side of the equation. -21 + 21 + 11n = -32 + 21 Combine like terms: -21 + 21 = 0 0 + 11n = -32 + 21 11n = -32 + 21 Combine like terms: -32 + 21 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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