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Simplifying -74 + -8n = -20 + 2(13n + 12) Reorder the terms: -74 + -8n = -20 + 2(12 + 13n) -74 + -8n = -20 + (12 * 2 + 13n * 2) -74 + -8n = -20 + (24 + 26n) Combine like terms: -20 + 24 = 4 -74 + -8n = 4 + 26n Solving -74 + -8n = 4 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. -74 + -8n + -26n = 4 + 26n + -26n Combine like terms: -8n + -26n = -34n -74 + -34n = 4 + 26n + -26n Combine like terms: 26n + -26n = 0 -74 + -34n = 4 + 0 -74 + -34n = 4 Add '74' to each side of the equation. -74 + 74 + -34n = 4 + 74 Combine like terms: -74 + 74 = 0 0 + -34n = 4 + 74 -34n = 4 + 74 Combine like terms: 4 + 74 = 78 -34n = 78 Divide each side by '-34'. n = -2.294117647 Simplifying n = -2.294117647
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