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Simplifying 14 + -8n + -17 = 8n + 21 + -4n Reorder the terms: 14 + -17 + -8n = 8n + 21 + -4n Combine like terms: 14 + -17 = -3 -3 + -8n = 8n + 21 + -4n Reorder the terms: -3 + -8n = 21 + 8n + -4n Combine like terms: 8n + -4n = 4n -3 + -8n = 21 + 4n Solving -3 + -8n = 21 + 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. -3 + -8n + -4n = 21 + 4n + -4n Combine like terms: -8n + -4n = -12n -3 + -12n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + -12n = 21 + 0 -3 + -12n = 21 Add '3' to each side of the equation. -3 + 3 + -12n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -12n = 21 + 3 -12n = 21 + 3 Combine like terms: 21 + 3 = 24 -12n = 24 Divide each side by '-12'. n = -2 Simplifying n = -2
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