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Simplifying 4(2b + 2) = -5(-2 + 7b) Reorder the terms: 4(2 + 2b) = -5(-2 + 7b) (2 * 4 + 2b * 4) = -5(-2 + 7b) (8 + 8b) = -5(-2 + 7b) 8 + 8b = (-2 * -5 + 7b * -5) 8 + 8b = (10 + -35b) Solving 8 + 8b = 10 + -35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35b' to each side of the equation. 8 + 8b + 35b = 10 + -35b + 35b Combine like terms: 8b + 35b = 43b 8 + 43b = 10 + -35b + 35b Combine like terms: -35b + 35b = 0 8 + 43b = 10 + 0 8 + 43b = 10 Add '-8' to each side of the equation. 8 + -8 + 43b = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 43b = 10 + -8 43b = 10 + -8 Combine like terms: 10 + -8 = 2 43b = 2 Divide each side by '43'. b = 0.04651162791 Simplifying b = 0.04651162791
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