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Simplifying 8n + 17 = 14n + -7 Reorder the terms: 17 + 8n = 14n + -7 Reorder the terms: 17 + 8n = -7 + 14n Solving 17 + 8n = -7 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 17 + 8n + -14n = -7 + 14n + -14n Combine like terms: 8n + -14n = -6n 17 + -6n = -7 + 14n + -14n Combine like terms: 14n + -14n = 0 17 + -6n = -7 + 0 17 + -6n = -7 Add '-17' to each side of the equation. 17 + -17 + -6n = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -6n = -7 + -17 -6n = -7 + -17 Combine like terms: -7 + -17 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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