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Simplifying 12(b + 2) = (8b + 5) Reorder the terms: 12(2 + b) = (8b + 5) (2 * 12 + b * 12) = (8b + 5) (24 + 12b) = (8b + 5) Reorder the terms: 24 + 12b = (5 + 8b) Remove parenthesis around (5 + 8b) 24 + 12b = 5 + 8b Solving 24 + 12b = 5 + 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. 24 + 12b + -8b = 5 + 8b + -8b Combine like terms: 12b + -8b = 4b 24 + 4b = 5 + 8b + -8b Combine like terms: 8b + -8b = 0 24 + 4b = 5 + 0 24 + 4b = 5 Add '-24' to each side of the equation. 24 + -24 + 4b = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 4b = 5 + -24 4b = 5 + -24 Combine like terms: 5 + -24 = -19 4b = -19 Divide each side by '4'. b = -4.75 Simplifying b = -4.75
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