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Simplifying -8n + 5n + 13 = 1 + 3n Reorder the terms: 13 + -8n + 5n = 1 + 3n Combine like terms: -8n + 5n = -3n 13 + -3n = 1 + 3n Solving 13 + -3n = 1 + 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 + -3n + -3n = 1 + 3n + -3n Combine like terms: -3n + -3n = -6n 13 + -6n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 13 + -6n = 1 + 0 13 + -6n = 1 Add '-13' to each side of the equation. 13 + -13 + -6n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -6n = 1 + -13 -6n = 1 + -13 Combine like terms: 1 + -13 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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