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Simplifying 8 + 8n + -4n + 19 = 13n + 3 + -5n Reorder the terms: 8 + 19 + 8n + -4n = 13n + 3 + -5n Combine like terms: 8 + 19 = 27 27 + 8n + -4n = 13n + 3 + -5n Combine like terms: 8n + -4n = 4n 27 + 4n = 13n + 3 + -5n Reorder the terms: 27 + 4n = 3 + 13n + -5n Combine like terms: 13n + -5n = 8n 27 + 4n = 3 + 8n Solving 27 + 4n = 3 + 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. 27 + 4n + -8n = 3 + 8n + -8n Combine like terms: 4n + -8n = -4n 27 + -4n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 27 + -4n = 3 + 0 27 + -4n = 3 Add '-27' to each side of the equation. 27 + -27 + -4n = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -4n = 3 + -27 -4n = 3 + -27 Combine like terms: 3 + -27 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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