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Simplifying -8(-5 + -1b) = -40 + -2b (-5 * -8 + -1b * -8) = -40 + -2b (40 + 8b) = -40 + -2b Solving 40 + 8b = -40 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 40 + 8b + 2b = -40 + -2b + 2b Combine like terms: 8b + 2b = 10b 40 + 10b = -40 + -2b + 2b Combine like terms: -2b + 2b = 0 40 + 10b = -40 + 0 40 + 10b = -40 Add '-40' to each side of the equation. 40 + -40 + 10b = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 10b = -40 + -40 10b = -40 + -40 Combine like terms: -40 + -40 = -80 10b = -80 Divide each side by '10'. b = -8 Simplifying b = -8
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