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Simplifying 5n + 24 = 18 + -3n Reorder the terms: 24 + 5n = 18 + -3n Solving 24 + 5n = 18 + -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. 24 + 5n + 3n = 18 + -3n + 3n Combine like terms: 5n + 3n = 8n 24 + 8n = 18 + -3n + 3n Combine like terms: -3n + 3n = 0 24 + 8n = 18 + 0 24 + 8n = 18 Add '-24' to each side of the equation. 24 + -24 + 8n = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 18 + -24 8n = 18 + -24 Combine like terms: 18 + -24 = -6 8n = -6 Divide each side by '8'. n = -0.75 Simplifying n = -0.75
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