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Simplifying -8n + 7n + 17 = -3 + 3n Reorder the terms: 17 + -8n + 7n = -3 + 3n Combine like terms: -8n + 7n = -1n 17 + -1n = -3 + 3n Solving 17 + -1n = -3 + 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. 17 + -1n + -3n = -3 + 3n + -3n Combine like terms: -1n + -3n = -4n 17 + -4n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 17 + -4n = -3 + 0 17 + -4n = -3 Add '-17' to each side of the equation. 17 + -17 + -4n = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -4n = -3 + -17 -4n = -3 + -17 Combine like terms: -3 + -17 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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