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Simplifying 6(5b + 4) = -24 + 6b Reorder the terms: 6(4 + 5b) = -24 + 6b (4 * 6 + 5b * 6) = -24 + 6b (24 + 30b) = -24 + 6b Solving 24 + 30b = -24 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 24 + 30b + -6b = -24 + 6b + -6b Combine like terms: 30b + -6b = 24b 24 + 24b = -24 + 6b + -6b Combine like terms: 6b + -6b = 0 24 + 24b = -24 + 0 24 + 24b = -24 Add '-24' to each side of the equation. 24 + -24 + 24b = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 24b = -24 + -24 24b = -24 + -24 Combine like terms: -24 + -24 = -48 24b = -48 Divide each side by '24'. b = -2 Simplifying b = -2
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