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Simplifying 5n + 13 = 8n + -5 Reorder the terms: 13 + 5n = 8n + -5 Reorder the terms: 13 + 5n = -5 + 8n Solving 13 + 5n = -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. 13 + 5n + -8n = -5 + 8n + -8n Combine like terms: 5n + -8n = -3n 13 + -3n = -5 + 8n + -8n Combine like terms: 8n + -8n = 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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