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Simplifying -1(8b + -2) = 3 + 10(1 + -3n) Reorder the terms: -1(-2 + 8b) = 3 + 10(1 + -3n) (-2 * -1 + 8b * -1) = 3 + 10(1 + -3n) (2 + -8b) = 3 + 10(1 + -3n) 2 + -8b = 3 + (1 * 10 + -3n * 10) 2 + -8b = 3 + (10 + -30n) Combine like terms: 3 + 10 = 13 2 + -8b = 13 + -30n Solving 2 + -8b = 13 + -30n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8b = 13 + -2 + -30n Combine like terms: 2 + -2 = 0 0 + -8b = 13 + -2 + -30n -8b = 13 + -2 + -30n Combine like terms: 13 + -2 = 11 -8b = 11 + -30n Divide each side by '-8'. b = -1.375 + 3.75n Simplifying b = -1.375 + 3.75n
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