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Simplifying 4(2b + 3) = b + 12 Reorder the terms: 4(3 + 2b) = b + 12 (3 * 4 + 2b * 4) = b + 12 (12 + 8b) = b + 12 Reorder the terms: 12 + 8b = 12 + b Add '-12' to each side of the equation. 12 + -12 + 8b = 12 + -12 + b Combine like terms: 12 + -12 = 0 0 + 8b = 12 + -12 + b 8b = 12 + -12 + b Combine like terms: 12 + -12 = 0 8b = 0 + b 8b = b Solving 8b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 8b + -1b = b + -1b Combine like terms: 8b + -1b = 7b 7b = b + -1b Combine like terms: b + -1b = 0 7b = 0 Divide each side by '7'. b = 0 Simplifying b = 0
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