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Simplifying 17 + 8n = -5 + 7(3n + -8) Reorder the terms: 17 + 8n = -5 + 7(-8 + 3n) 17 + 8n = -5 + (-8 * 7 + 3n * 7) 17 + 8n = -5 + (-56 + 21n) Combine like terms: -5 + -56 = -61 17 + 8n = -61 + 21n Solving 17 + 8n = -61 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 17 + 8n + -21n = -61 + 21n + -21n Combine like terms: 8n + -21n = -13n 17 + -13n = -61 + 21n + -21n Combine like terms: 21n + -21n = 0 17 + -13n = -61 + 0 17 + -13n = -61 Add '-17' to each side of the equation. 17 + -17 + -13n = -61 + -17 Combine like terms: 17 + -17 = 0 0 + -13n = -61 + -17 -13n = -61 + -17 Combine like terms: -61 + -17 = -78 -13n = -78 Divide each side by '-13'. n = 6 Simplifying n = 6
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