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Simplifying 3(7b + 8) = 24 + -8b Reorder the terms: 3(8 + 7b) = 24 + -8b (8 * 3 + 7b * 3) = 24 + -8b (24 + 21b) = 24 + -8b Add '-24' to each side of the equation. 24 + -24 + 21b = 24 + -24 + -8b Combine like terms: 24 + -24 = 0 0 + 21b = 24 + -24 + -8b 21b = 24 + -24 + -8b Combine like terms: 24 + -24 = 0 21b = 0 + -8b 21b = -8b Solving 21b = -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 21b + 8b = -8b + 8b Combine like terms: 21b + 8b = 29b 29b = -8b + 8b Combine like terms: -8b + 8b = 0 29b = 0 Divide each side by '29'. b = 0 Simplifying b = 0
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