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Simplifying 3(b + 8) = 39 + -2b Reorder the terms: 3(8 + b) = 39 + -2b (8 * 3 + b * 3) = 39 + -2b (24 + 3b) = 39 + -2b Solving 24 + 3b = 39 + -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. 24 + 3b + 2b = 39 + -2b + 2b Combine like terms: 3b + 2b = 5b 24 + 5b = 39 + -2b + 2b Combine like terms: -2b + 2b = 0 24 + 5b = 39 + 0 24 + 5b = 39 Add '-24' to each side of the equation. 24 + -24 + 5b = 39 + -24 Combine like terms: 24 + -24 = 0 0 + 5b = 39 + -24 5b = 39 + -24 Combine like terms: 39 + -24 = 15 5b = 15 Divide each side by '5'. b = 3 Simplifying b = 3
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