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Simplifying 12(b + 12) = 8(b + 5) Reorder the terms: 12(12 + b) = 8(b + 5) (12 * 12 + b * 12) = 8(b + 5) (144 + 12b) = 8(b + 5) Reorder the terms: 144 + 12b = 8(5 + b) 144 + 12b = (5 * 8 + b * 8) 144 + 12b = (40 + 8b) Solving 144 + 12b = 40 + 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. 144 + 12b + -8b = 40 + 8b + -8b Combine like terms: 12b + -8b = 4b 144 + 4b = 40 + 8b + -8b Combine like terms: 8b + -8b = 0 144 + 4b = 40 + 0 144 + 4b = 40 Add '-144' to each side of the equation. 144 + -144 + 4b = 40 + -144 Combine like terms: 144 + -144 = 0 0 + 4b = 40 + -144 4b = 40 + -144 Combine like terms: 40 + -144 = -104 4b = -104 Divide each side by '4'. b = -26 Simplifying b = -26
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