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Simplifying 12n + 7 = 4b + 8n + 6 Reorder the terms: 7 + 12n = 4b + 8n + 6 Reorder the terms: 7 + 12n = 6 + 4b + 8n Solving 7 + 12n = 6 + 4b + 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 = 6 + 4b + 8n + -8n Combine like terms: 12n + -8n = 4n 7 + 4n = 6 + 4b + 8n + -8n Combine like terms: 8n + -8n = 0 7 + 4n = 6 + 4b + 0 7 + 4n = 6 + 4b Add '-7' to each side of the equation. 7 + -7 + 4n = 6 + -7 + 4b Combine like terms: 7 + -7 = 0 0 + 4n = 6 + -7 + 4b 4n = 6 + -7 + 4b Combine like terms: 6 + -7 = -1 4n = -1 + 4b Divide each side by '4'. n = -0.25 + b Simplifying n = -0.25 + b
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