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Simplifying -17 + -5n = 8n + -2(4 + 5n) -17 + -5n = 8n + (4 * -2 + 5n * -2) -17 + -5n = 8n + (-8 + -10n) Reorder the terms: -17 + -5n = -8 + 8n + -10n Combine like terms: 8n + -10n = -2n -17 + -5n = -8 + -2n Solving -17 + -5n = -8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -17 + -5n + 2n = -8 + -2n + 2n Combine like terms: -5n + 2n = -3n -17 + -3n = -8 + -2n + 2n Combine like terms: -2n + 2n = 0 -17 + -3n = -8 + 0 -17 + -3n = -8 Add '17' to each side of the equation. -17 + 17 + -3n = -8 + 17 Combine like terms: -17 + 17 = 0 0 + -3n = -8 + 17 -3n = -8 + 17 Combine like terms: -8 + 17 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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