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Simplifying 8n + -13 = 5n + 5 Reorder the terms: -13 + 8n = 5n + 5 Reorder the terms: -13 + 8n = 5 + 5n Solving -13 + 8n = 5 + 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. -13 + 8n + -5n = 5 + 5n + -5n Combine like terms: 8n + -5n = 3n -13 + 3n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 -13 + 3n = 5 + 0 -13 + 3n = 5 Add '13' to each side of the equation. -13 + 13 + 3n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3n = 5 + 13 3n = 5 + 13 Combine like terms: 5 + 13 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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