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Simplifying 5b + 6(4 + -8b) = -234 5b + (4 * 6 + -8b * 6) = -234 5b + (24 + -48b) = -234 Reorder the terms: 24 + 5b + -48b = -234 Combine like terms: 5b + -48b = -43b 24 + -43b = -234 Solving 24 + -43b = -234 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -43b = -234 + -24 Combine like terms: 24 + -24 = 0 0 + -43b = -234 + -24 -43b = -234 + -24 Combine like terms: -234 + -24 = -258 -43b = -258 Divide each side by '-43'. b = 6 Simplifying b = 6
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