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Simplifying -5n + 13 = 6 + 3(n + 5) Reorder the terms: 13 + -5n = 6 + 3(n + 5) Reorder the terms: 13 + -5n = 6 + 3(5 + n) 13 + -5n = 6 + (5 * 3 + n * 3) 13 + -5n = 6 + (15 + 3n) Combine like terms: 6 + 15 = 21 13 + -5n = 21 + 3n Solving 13 + -5n = 21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 13 + -5n + -3n = 21 + 3n + -3n Combine like terms: -5n + -3n = -8n 13 + -8n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 13 + -8n = 21 + 0 13 + -8n = 21 Add '-13' to each side of the equation. 13 + -13 + -8n = 21 + -13 Combine like terms: 13 + -13 = 0 0 + -8n = 21 + -13 -8n = 21 + -13 Combine like terms: 21 + -13 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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