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Simplifying 4n + (9 + -3n) = 8n + -5 Remove parenthesis around (9 + -3n) 4n + 9 + -3n = 8n + -5 Reorder the terms: 9 + 4n + -3n = 8n + -5 Combine like terms: 4n + -3n = 1n 9 + 1n = 8n + -5 Reorder the terms: 9 + 1n = -5 + 8n Solving 9 + 1n = -5 + 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. 9 + 1n + -8n = -5 + 8n + -8n Combine like terms: 1n + -8n = -7n 9 + -7n = -5 + 8n + -8n Combine like terms: 8n + -8n = 0 9 + -7n = -5 + 0 9 + -7n = -5 Add '-9' to each side of the equation. 9 + -9 + -7n = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -7n = -5 + -9 -7n = -5 + -9 Combine like terms: -5 + -9 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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