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Simplifying 3(b + 4) = 2(b + 20) Reorder the terms: 3(4 + b) = 2(b + 20) (4 * 3 + b * 3) = 2(b + 20) (12 + 3b) = 2(b + 20) Reorder the terms: 12 + 3b = 2(20 + b) 12 + 3b = (20 * 2 + b * 2) 12 + 3b = (40 + 2b) Solving 12 + 3b = 40 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 12 + 3b + -2b = 40 + 2b + -2b Combine like terms: 3b + -2b = 1b 12 + 1b = 40 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 1b = 40 + 0 12 + 1b = 40 Add '-12' to each side of the equation. 12 + -12 + 1b = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 40 + -12 1b = 40 + -12 Combine like terms: 40 + -12 = 28 1b = 28 Divide each side by '1'. b = 28 Simplifying b = 28
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