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Simplifying 20 + 7(5b + 20) = 15b Reorder the terms: 20 + 7(20 + 5b) = 15b 20 + (20 * 7 + 5b * 7) = 15b 20 + (140 + 35b) = 15b Combine like terms: 20 + 140 = 160 160 + 35b = 15b Solving 160 + 35b = 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 160 + 35b + -15b = 15b + -15b Combine like terms: 35b + -15b = 20b 160 + 20b = 15b + -15b Combine like terms: 15b + -15b = 0 160 + 20b = 0 Add '-160' to each side of the equation. 160 + -160 + 20b = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 20b = 0 + -160 20b = 0 + -160 Combine like terms: 0 + -160 = -160 20b = -160 Divide each side by '20'. b = -8 Simplifying b = -8
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