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Simplifying n + -14 = 8n + 7 Reorder the terms: -14 + n = 8n + 7 Reorder the terms: -14 + n = 7 + 8n Solving -14 + n = 7 + 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 + n + -8n = 7 + 8n + -8n Combine like terms: n + -8n = -7n -14 + -7n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + -7n = 7 + 0 -14 + -7n = 7 Add '14' to each side of the equation. -14 + 14 + -7n = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -7n = 7 + 14 -7n = 7 + 14 Combine like terms: 7 + 14 = 21 -7n = 21 Divide each side by '-7'. n = -3 Simplifying n = -3
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