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Simplifying 13 + -8n = n + -2 + -4n Reorder the terms: 13 + -8n = -2 + n + -4n Combine like terms: n + -4n = -3n 13 + -8n = -2 + -3n Solving 13 + -8n = -2 + -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 + -8n + 3n = -2 + -3n + 3n Combine like terms: -8n + 3n = -5n 13 + -5n = -2 + -3n + 3n Combine like terms: -3n + 3n = 0 13 + -5n = -2 + 0 13 + -5n = -2 Add '-13' to each side of the equation. 13 + -13 + -5n = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -5n = -2 + -13 -5n = -2 + -13 Combine like terms: -2 + -13 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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