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Simplifying 8n + 9 + -13n = 4n + 8 + -8n Reorder the terms: 9 + 8n + -13n = 4n + 8 + -8n Combine like terms: 8n + -13n = -5n 9 + -5n = 4n + 8 + -8n Reorder the terms: 9 + -5n = 8 + 4n + -8n Combine like terms: 4n + -8n = -4n 9 + -5n = 8 + -4n Solving 9 + -5n = 8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 9 + -5n + 4n = 8 + -4n + 4n Combine like terms: -5n + 4n = -1n 9 + -1n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 9 + -1n = 8 + 0 9 + -1n = 8 Add '-9' to each side of the equation. 9 + -9 + -1n = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 8 + -9 -1n = 8 + -9 Combine like terms: 8 + -9 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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