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Simplifying 4(8 + b) + -5(1 + -6b) = -75 (8 * 4 + b * 4) + -5(1 + -6b) = -75 (32 + 4b) + -5(1 + -6b) = -75 32 + 4b + (1 * -5 + -6b * -5) = -75 32 + 4b + (-5 + 30b) = -75 Reorder the terms: 32 + -5 + 4b + 30b = -75 Combine like terms: 32 + -5 = 27 27 + 4b + 30b = -75 Combine like terms: 4b + 30b = 34b 27 + 34b = -75 Solving 27 + 34b = -75 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 34b = -75 + -27 Combine like terms: 27 + -27 = 0 0 + 34b = -75 + -27 34b = -75 + -27 Combine like terms: -75 + -27 = -102 34b = -102 Divide each side by '34'. b = -3 Simplifying b = -3
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