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Simplifying 8n + 17 = 3(n + -7) + -2 Reorder the terms: 17 + 8n = 3(n + -7) + -2 Reorder the terms: 17 + 8n = 3(-7 + n) + -2 17 + 8n = (-7 * 3 + n * 3) + -2 17 + 8n = (-21 + 3n) + -2 Reorder the terms: 17 + 8n = -21 + -2 + 3n Combine like terms: -21 + -2 = -23 17 + 8n = -23 + 3n Solving 17 + 8n = -23 + 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 + 8n + -3n = -23 + 3n + -3n Combine like terms: 8n + -3n = 5n 17 + 5n = -23 + 3n + -3n Combine like terms: 3n + -3n = 0 17 + 5n = -23 + 0 17 + 5n = -23 Add '-17' to each side of the equation. 17 + -17 + 5n = -23 + -17 Combine like terms: 17 + -17 = 0 0 + 5n = -23 + -17 5n = -23 + -17 Combine like terms: -23 + -17 = -40 5n = -40 Divide each side by '5'. n = -8 Simplifying n = -8
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