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Simplifying 5n + 3 = 8n + -6 Reorder the terms: 3 + 5n = 8n + -6 Reorder the terms: 3 + 5n = -6 + 8n Solving 3 + 5n = -6 + 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. 3 + 5n + -8n = -6 + 8n + -8n Combine like terms: 5n + -8n = -3n 3 + -3n = -6 + 8n + -8n Combine like terms: 8n + -8n = 0 3 + -3n = -6 + 0 3 + -3n = -6 Add '-3' to each side of the equation. 3 + -3 + -3n = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -6 + -3 -3n = -6 + -3 Combine like terms: -6 + -3 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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