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Simplifying 12[b + 2] = 8[b + 5] Reorder the terms: 12[2 + b] = 8[b + 5] [2 * 12 + b * 12] = 8[b + 5] [24 + 12b] = 8[b + 5] Reorder the terms: 24 + 12b = 8[5 + b] 24 + 12b = [5 * 8 + b * 8] 24 + 12b = [40 + 8b] Solving 24 + 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. 24 + 12b + -8b = 40 + 8b + -8b Combine like terms: 12b + -8b = 4b 24 + 4b = 40 + 8b + -8b Combine like terms: 8b + -8b = 0 24 + 4b = 40 + 0 24 + 4b = 40 Add '-24' to each side of the equation. 24 + -24 + 4b = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 4b = 40 + -24 4b = 40 + -24 Combine like terms: 40 + -24 = 16 4b = 16 Divide each side by '4'. b = 4 Simplifying b = 4
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