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Simplifying 38 + -3n = 6 + 5n Solving 38 + -3n = 6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 38 + -3n + -5n = 6 + 5n + -5n Combine like terms: -3n + -5n = -8n 38 + -8n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 38 + -8n = 6 + 0 38 + -8n = 6 Add '-38' to each side of the equation. 38 + -38 + -8n = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -8n = 6 + -38 -8n = 6 + -38 Combine like terms: 6 + -38 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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