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Simplifying 4(3b + 3) = 5(2b + 1) Reorder the terms: 4(3 + 3b) = 5(2b + 1) (3 * 4 + 3b * 4) = 5(2b + 1) (12 + 12b) = 5(2b + 1) Reorder the terms: 12 + 12b = 5(1 + 2b) 12 + 12b = (1 * 5 + 2b * 5) 12 + 12b = (5 + 10b) Solving 12 + 12b = 5 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 12 + 12b + -10b = 5 + 10b + -10b Combine like terms: 12b + -10b = 2b 12 + 2b = 5 + 10b + -10b Combine like terms: 10b + -10b = 0 12 + 2b = 5 + 0 12 + 2b = 5 Add '-12' to each side of the equation. 12 + -12 + 2b = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 5 + -12 2b = 5 + -12 Combine like terms: 5 + -12 = -7 2b = -7 Divide each side by '2'. b = -3.5 Simplifying b = -3.5
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