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Simplifying -2(1 + 5b) = -82 (1 * -2 + 5b * -2) = -82 (-2 + -10b) = -82 Solving -2 + -10b = -82 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 + -10b = -82 + 2 Combine like terms: -2 + 2 = 0 0 + -10b = -82 + 2 -10b = -82 + 2 Combine like terms: -82 + 2 = -80 -10b = -80 Divide each side by '-10'. b = 8 Simplifying b = 8
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