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Simplifying 5n + 3 = 19 + -3n Reorder the terms: 3 + 5n = 19 + -3n Solving 3 + 5n = 19 + -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. 3 + 5n + 3n = 19 + -3n + 3n Combine like terms: 5n + 3n = 8n 3 + 8n = 19 + -3n + 3n Combine like terms: -3n + 3n = 0 3 + 8n = 19 + 0 3 + 8n = 19 Add '-3' to each side of the equation. 3 + -3 + 8n = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8n = 19 + -3 8n = 19 + -3 Combine like terms: 19 + -3 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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