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Simplifying 8n + -7 = 5n + 32 Reorder the terms: -7 + 8n = 5n + 32 Reorder the terms: -7 + 8n = 32 + 5n Solving -7 + 8n = 32 + 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. -7 + 8n + -5n = 32 + 5n + -5n Combine like terms: 8n + -5n = 3n -7 + 3n = 32 + 5n + -5n Combine like terms: 5n + -5n = 0 -7 + 3n = 32 + 0 -7 + 3n = 32 Add '7' to each side of the equation. -7 + 7 + 3n = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = 32 + 7 3n = 32 + 7 Combine like terms: 32 + 7 = 39 3n = 39 Divide each side by '3'. n = 13 Simplifying n = 13
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