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Simplifying 8n + 12 = 5n + 4 Reorder the terms: 12 + 8n = 5n + 4 Reorder the terms: 12 + 8n = 4 + 5n Solving 12 + 8n = 4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 12 + 8n + -5n = 4 + 5n + -5n Combine like terms: 8n + -5n = 3n 12 + 3n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 3n = 4 + 0 12 + 3n = 4 Add '-12' to each side of the equation. 12 + -12 + 3n = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 4 + -12 3n = 4 + -12 Combine like terms: 4 + -12 = -8 3n = -8 Divide each side by '3'. n = -2.666666667 Simplifying n = -2.666666667
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