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Simplifying 37 + -8b = -5(-4 + 5b) 37 + -8b = (-4 * -5 + 5b * -5) 37 + -8b = (20 + -25b) Solving 37 + -8b = 20 + -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. 37 + -8b + 25b = 20 + -25b + 25b Combine like terms: -8b + 25b = 17b 37 + 17b = 20 + -25b + 25b Combine like terms: -25b + 25b = 0 37 + 17b = 20 + 0 37 + 17b = 20 Add '-37' to each side of the equation. 37 + -37 + 17b = 20 + -37 Combine like terms: 37 + -37 = 0 0 + 17b = 20 + -37 17b = 20 + -37 Combine like terms: 20 + -37 = -17 17b = -17 Divide each side by '17'. b = -1 Simplifying b = -1
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