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Simplifying 5n + -8n + 5 = -8n + 50 + -4n Reorder the terms: 5 + 5n + -8n = -8n + 50 + -4n Combine like terms: 5n + -8n = -3n 5 + -3n = -8n + 50 + -4n Reorder the terms: 5 + -3n = 50 + -8n + -4n Combine like terms: -8n + -4n = -12n 5 + -3n = 50 + -12n Solving 5 + -3n = 50 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 5 + -3n + 12n = 50 + -12n + 12n Combine like terms: -3n + 12n = 9n 5 + 9n = 50 + -12n + 12n Combine like terms: -12n + 12n = 0 5 + 9n = 50 + 0 5 + 9n = 50 Add '-5' to each side of the equation. 5 + -5 + 9n = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 50 + -5 9n = 50 + -5 Combine like terms: 50 + -5 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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