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Simplifying 3(bc + 3) = 4(5 + 2bc) Reorder the terms: 3(3 + bc) = 4(5 + 2bc) (3 * 3 + bc * 3) = 4(5 + 2bc) (9 + 3bc) = 4(5 + 2bc) 9 + 3bc = (5 * 4 + 2bc * 4) 9 + 3bc = (20 + 8bc) Solving 9 + 3bc = 20 + 8bc Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8bc' to each side of the equation. 9 + 3bc + -8bc = 20 + 8bc + -8bc Combine like terms: 3bc + -8bc = -5bc 9 + -5bc = 20 + 8bc + -8bc Combine like terms: 8bc + -8bc = 0 9 + -5bc = 20 + 0 9 + -5bc = 20 Add '-9' to each side of the equation. 9 + -9 + -5bc = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -5bc = 20 + -9 -5bc = 20 + -9 Combine like terms: 20 + -9 = 11 -5bc = 11 Divide each side by '-5c'. b = -2.2c-1 Simplifying b = -2.2c-1
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