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Simplifying 26 + -6n = 8 + 2(-4n + 8) Reorder the terms: 26 + -6n = 8 + 2(8 + -4n) 26 + -6n = 8 + (8 * 2 + -4n * 2) 26 + -6n = 8 + (16 + -8n) Combine like terms: 8 + 16 = 24 26 + -6n = 24 + -8n Solving 26 + -6n = 24 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 26 + -6n + 8n = 24 + -8n + 8n Combine like terms: -6n + 8n = 2n 26 + 2n = 24 + -8n + 8n Combine like terms: -8n + 8n = 0 26 + 2n = 24 + 0 26 + 2n = 24 Add '-26' to each side of the equation. 26 + -26 + 2n = 24 + -26 Combine like terms: 26 + -26 = 0 0 + 2n = 24 + -26 2n = 24 + -26 Combine like terms: 24 + -26 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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