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Simplifying 7(b + 2) + -4b = 2(b + 20) Reorder the terms: 7(2 + b) + -4b = 2(b + 20) (2 * 7 + b * 7) + -4b = 2(b + 20) (14 + 7b) + -4b = 2(b + 20) Combine like terms: 7b + -4b = 3b 14 + 3b = 2(b + 20) Reorder the terms: 14 + 3b = 2(20 + b) 14 + 3b = (20 * 2 + b * 2) 14 + 3b = (40 + 2b) Solving 14 + 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. 14 + 3b + -2b = 40 + 2b + -2b Combine like terms: 3b + -2b = 1b 14 + 1b = 40 + 2b + -2b Combine like terms: 2b + -2b = 0 14 + 1b = 40 + 0 14 + 1b = 40 Add '-14' to each side of the equation. 14 + -14 + 1b = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 1b = 40 + -14 1b = 40 + -14 Combine like terms: 40 + -14 = 26 1b = 26 Divide each side by '1'. b = 26 Simplifying b = 26
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