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Simplifying 12n + 7 = 8n + 5 Reorder the terms: 7 + 12n = 8n + 5 Reorder the terms: 7 + 12n = 5 + 8n Solving 7 + 12n = 5 + 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. 7 + 12n + -8n = 5 + 8n + -8n Combine like terms: 12n + -8n = 4n 7 + 4n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + 4n = 5 + 0 7 + 4n = 5 Add '-7' to each side of the equation. 7 + -7 + 4n = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 5 + -7 4n = 5 + -7 Combine like terms: 5 + -7 = -2 4n = -2 Divide each side by '4'. n = -0.5 Simplifying n = -0.5
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