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Simplifying 6(b + 2) = 4(b + 5) Reorder the terms: 6(2 + b) = 4(b + 5) (2 * 6 + b * 6) = 4(b + 5) (12 + 6b) = 4(b + 5) Reorder the terms: 12 + 6b = 4(5 + b) 12 + 6b = (5 * 4 + b * 4) 12 + 6b = (20 + 4b) Solving 12 + 6b = 20 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 12 + 6b + -4b = 20 + 4b + -4b Combine like terms: 6b + -4b = 2b 12 + 2b = 20 + 4b + -4b Combine like terms: 4b + -4b = 0 12 + 2b = 20 + 0 12 + 2b = 20 Add '-12' to each side of the equation. 12 + -12 + 2b = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 20 + -12 2b = 20 + -12 Combine like terms: 20 + -12 = 8 2b = 8 Divide each side by '2'. b = 4 Simplifying b = 4
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