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Simplifying n + -5 = -14 + -1n + -7n Reorder the terms: -5 + n = -14 + -1n + -7n Combine like terms: -1n + -7n = -8n -5 + n = -14 + -8n Solving -5 + n = -14 + -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. -5 + n + 8n = -14 + -8n + 8n Combine like terms: n + 8n = 9n -5 + 9n = -14 + -8n + 8n Combine like terms: -8n + 8n = 0 -5 + 9n = -14 + 0 -5 + 9n = -14 Add '5' to each side of the equation. -5 + 5 + 9n = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 9n = -14 + 5 9n = -14 + 5 Combine like terms: -14 + 5 = -9 9n = -9 Divide each side by '9'. n = -1 Simplifying n = -1
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