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Simplifying 9 + 7n + -12 + 1n + -5 = 0 Reorder the terms: 9 + -12 + -5 + 7n + 1n = 0 Combine like terms: 9 + -12 = -3 -3 + -5 + 7n + 1n = 0 Combine like terms: -3 + -5 = -8 -8 + 7n + 1n = 0 Combine like terms: 7n + 1n = 8n -8 + 8n = 0 Solving -8 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8n = 0 + 8 8n = 0 + 8 Combine like terms: 0 + 8 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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