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Simplifying -5(7b + 2) = -37 + 8b Reorder the terms: -5(2 + 7b) = -37 + 8b (2 * -5 + 7b * -5) = -37 + 8b (-10 + -35b) = -37 + 8b Solving -10 + -35b = -37 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -10 + -35b + -8b = -37 + 8b + -8b Combine like terms: -35b + -8b = -43b -10 + -43b = -37 + 8b + -8b Combine like terms: 8b + -8b = 0 -10 + -43b = -37 + 0 -10 + -43b = -37 Add '10' to each side of the equation. -10 + 10 + -43b = -37 + 10 Combine like terms: -10 + 10 = 0 0 + -43b = -37 + 10 -43b = -37 + 10 Combine like terms: -37 + 10 = -27 -43b = -27 Divide each side by '-43'. b = 0.6279069767 Simplifying b = 0.6279069767
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