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