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Simplifying 14 + 8n = 8n + 2(8n + 7) Reorder the terms: 14 + 8n = 8n + 2(7 + 8n) 14 + 8n = 8n + (7 * 2 + 8n * 2) 14 + 8n = 8n + (14 + 16n) Reorder the terms: 14 + 8n = 14 + 8n + 16n Combine like terms: 8n + 16n = 24n 14 + 8n = 14 + 24n Add '-14' to each side of the equation. 14 + -14 + 8n = 14 + -14 + 24n Combine like terms: 14 + -14 = 0 0 + 8n = 14 + -14 + 24n 8n = 14 + -14 + 24n Combine like terms: 14 + -14 = 0 8n = 0 + 24n 8n = 24n Solving 8n = 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 8n + -24n = 24n + -24n Combine like terms: 8n + -24n = -16n -16n = 24n + -24n Combine like terms: 24n + -24n = 0 -16n = 0 Divide each side by '-16'. n = 0 Simplifying n = 0
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