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Simplifying 8(b + 3) = 12(b + 3) Reorder the terms: 8(3 + b) = 12(b + 3) (3 * 8 + b * 8) = 12(b + 3) (24 + 8b) = 12(b + 3) Reorder the terms: 24 + 8b = 12(3 + b) 24 + 8b = (3 * 12 + b * 12) 24 + 8b = (36 + 12b) Solving 24 + 8b = 36 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 24 + 8b + -12b = 36 + 12b + -12b Combine like terms: 8b + -12b = -4b 24 + -4b = 36 + 12b + -12b Combine like terms: 12b + -12b = 0 24 + -4b = 36 + 0 24 + -4b = 36 Add '-24' to each side of the equation. 24 + -24 + -4b = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -4b = 36 + -24 -4b = 36 + -24 Combine like terms: 36 + -24 = 12 -4b = 12 Divide each side by '-4'. b = -3 Simplifying b = -3
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