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Simplifying 12 + 5b = 3(b + 8) Reorder the terms: 12 + 5b = 3(8 + b) 12 + 5b = (8 * 3 + b * 3) 12 + 5b = (24 + 3b) Solving 12 + 5b = 24 + 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 + 5b + -3b = 24 + 3b + -3b Combine like terms: 5b + -3b = 2b 12 + 2b = 24 + 3b + -3b Combine like terms: 3b + -3b = 0 12 + 2b = 24 + 0 12 + 2b = 24 Add '-12' to each side of the equation. 12 + -12 + 2b = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 24 + -12 2b = 24 + -12 Combine like terms: 24 + -12 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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