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Simplifying 8 + 14n + -6 = 8n + 74 + -2n Reorder the terms: 8 + -6 + 14n = 8n + 74 + -2n Combine like terms: 8 + -6 = 2 2 + 14n = 8n + 74 + -2n Reorder the terms: 2 + 14n = 74 + 8n + -2n Combine like terms: 8n + -2n = 6n 2 + 14n = 74 + 6n Solving 2 + 14n = 74 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 2 + 14n + -6n = 74 + 6n + -6n Combine like terms: 14n + -6n = 8n 2 + 8n = 74 + 6n + -6n Combine like terms: 6n + -6n = 0 2 + 8n = 74 + 0 2 + 8n = 74 Add '-2' to each side of the equation. 2 + -2 + 8n = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 8n = 74 + -2 8n = 74 + -2 Combine like terms: 74 + -2 = 72 8n = 72 Divide each side by '8'. n = 9 Simplifying n = 9
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