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Simplifying 8n + 5 + -3n = 8n + -4 Reorder the terms: 5 + 8n + -3n = 8n + -4 Combine like terms: 8n + -3n = 5n 5 + 5n = 8n + -4 Reorder the terms: 5 + 5n = -4 + 8n Solving 5 + 5n = -4 + 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. 5 + 5n + -8n = -4 + 8n + -8n Combine like terms: 5n + -8n = -3n 5 + -3n = -4 + 8n + -8n Combine like terms: 8n + -8n = 0 5 + -3n = -4 + 0 5 + -3n = -4 Add '-5' to each side of the equation. 5 + -5 + -3n = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = -4 + -5 -3n = -4 + -5 Combine like terms: -4 + -5 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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