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Simplifying -2 + -5(n + -5) = 2(5 + 4n) Reorder the terms: -2 + -5(-5 + n) = 2(5 + 4n) -2 + (-5 * -5 + n * -5) = 2(5 + 4n) -2 + (25 + -5n) = 2(5 + 4n) Combine like terms: -2 + 25 = 23 23 + -5n = 2(5 + 4n) 23 + -5n = (5 * 2 + 4n * 2) 23 + -5n = (10 + 8n) Solving 23 + -5n = 10 + 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. 23 + -5n + -8n = 10 + 8n + -8n Combine like terms: -5n + -8n = -13n 23 + -13n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 23 + -13n = 10 + 0 23 + -13n = 10 Add '-23' to each side of the equation. 23 + -23 + -13n = 10 + -23 Combine like terms: 23 + -23 = 0 0 + -13n = 10 + -23 -13n = 10 + -23 Combine like terms: 10 + -23 = -13 -13n = -13 Divide each side by '-13'. n = 1 Simplifying n = 1
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