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Simplifying 8n + 7 = 3n + 12 Reorder the terms: 7 + 8n = 3n + 12 Reorder the terms: 7 + 8n = 12 + 3n Solving 7 + 8n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + 8n + -3n = 12 + 3n + -3n Combine like terms: 8n + -3n = 5n 7 + 5n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + 5n = 12 + 0 7 + 5n = 12 Add '-7' to each side of the equation. 7 + -7 + 5n = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = 12 + -7 5n = 12 + -7 Combine like terms: 12 + -7 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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