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Simplifying -11 + -1(8n + -2) = 25 + 10(1 + -3n) Reorder the terms: -11 + -1(-2 + 8n) = 25 + 10(1 + -3n) -11 + (-2 * -1 + 8n * -1) = 25 + 10(1 + -3n) -11 + (2 + -8n) = 25 + 10(1 + -3n) Combine like terms: -11 + 2 = -9 -9 + -8n = 25 + 10(1 + -3n) -9 + -8n = 25 + (1 * 10 + -3n * 10) -9 + -8n = 25 + (10 + -30n) Combine like terms: 25 + 10 = 35 -9 + -8n = 35 + -30n Solving -9 + -8n = 35 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -9 + -8n + 30n = 35 + -30n + 30n Combine like terms: -8n + 30n = 22n -9 + 22n = 35 + -30n + 30n Combine like terms: -30n + 30n = 0 -9 + 22n = 35 + 0 -9 + 22n = 35 Add '9' to each side of the equation. -9 + 9 + 22n = 35 + 9 Combine like terms: -9 + 9 = 0 0 + 22n = 35 + 9 22n = 35 + 9 Combine like terms: 35 + 9 = 44 22n = 44 Divide each side by '22'. n = 2 Simplifying n = 2
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