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Simplifying 26 + 8n = 6n + -2(5 + -7n) 26 + 8n = 6n + (5 * -2 + -7n * -2) 26 + 8n = 6n + (-10 + 14n) Reorder the terms: 26 + 8n = -10 + 6n + 14n Combine like terms: 6n + 14n = 20n 26 + 8n = -10 + 20n Solving 26 + 8n = -10 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 26 + 8n + -20n = -10 + 20n + -20n Combine like terms: 8n + -20n = -12n 26 + -12n = -10 + 20n + -20n Combine like terms: 20n + -20n = 0 26 + -12n = -10 + 0 26 + -12n = -10 Add '-26' to each side of the equation. 26 + -26 + -12n = -10 + -26 Combine like terms: 26 + -26 = 0 0 + -12n = -10 + -26 -12n = -10 + -26 Combine like terms: -10 + -26 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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