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Simplifying 4(b + 3) + 8b = 3(b + 5) Reorder the terms: 4(3 + b) + 8b = 3(b + 5) (3 * 4 + b * 4) + 8b = 3(b + 5) (12 + 4b) + 8b = 3(b + 5) Combine like terms: 4b + 8b = 12b 12 + 12b = 3(b + 5) Reorder the terms: 12 + 12b = 3(5 + b) 12 + 12b = (5 * 3 + b * 3) 12 + 12b = (15 + 3b) Solving 12 + 12b = 15 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 12 + 12b + -3b = 15 + 3b + -3b Combine like terms: 12b + -3b = 9b 12 + 9b = 15 + 3b + -3b Combine like terms: 3b + -3b = 0 12 + 9b = 15 + 0 12 + 9b = 15 Add '-12' to each side of the equation. 12 + -12 + 9b = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 9b = 15 + -12 9b = 15 + -12 Combine like terms: 15 + -12 = 3 9b = 3 Divide each side by '9'. b = 0.3333333333 Simplifying b = 0.3333333333
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