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Simplifying 7(b + 2) = 4(b + 5) Reorder the terms: 7(2 + b) = 4(b + 5) (2 * 7 + b * 7) = 4(b + 5) (14 + 7b) = 4(b + 5) Reorder the terms: 14 + 7b = 4(5 + b) 14 + 7b = (5 * 4 + b * 4) 14 + 7b = (20 + 4b) Solving 14 + 7b = 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. 14 + 7b + -4b = 20 + 4b + -4b Combine like terms: 7b + -4b = 3b 14 + 3b = 20 + 4b + -4b Combine like terms: 4b + -4b = 0 14 + 3b = 20 + 0 14 + 3b = 20 Add '-14' to each side of the equation. 14 + -14 + 3b = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3b = 20 + -14 3b = 20 + -14 Combine like terms: 20 + -14 = 6 3b = 6 Divide each side by '3'. b = 2 Simplifying b = 2
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