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Simplifying -1(8 + -2) = 3 + 10(1 + -3n) Combine like terms: 8 + -2 = 6 -1(6) = 3 + 10(1 + -3n) Multiply -1 * 6 -6 = 3 + 10(1 + -3n) -6 = 3 + (1 * 10 + -3n * 10) -6 = 3 + (10 + -30n) Combine like terms: 3 + 10 = 13 -6 = 13 + -30n Solving -6 = 13 + -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. -6 + 30n = 13 + -30n + 30n Combine like terms: -30n + 30n = 0 -6 + 30n = 13 + 0 -6 + 30n = 13 Add '6' to each side of the equation. -6 + 6 + 30n = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 30n = 13 + 6 30n = 13 + 6 Combine like terms: 13 + 6 = 19 30n = 19 Divide each side by '30'. n = 0.6333333333 Simplifying n = 0.6333333333
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