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Simplifying -7.5(5b + 4) = 23.5 + 2b Reorder the terms: -7.5(4 + 5b) = 23.5 + 2b (4 * -7.5 + 5b * -7.5) = 23.5 + 2b (-30 + -37.5b) = 23.5 + 2b Solving -30 + -37.5b = 23.5 + 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. -30 + -37.5b + -2b = 23.5 + 2b + -2b Combine like terms: -37.5b + -2b = -39.5b -30 + -39.5b = 23.5 + 2b + -2b Combine like terms: 2b + -2b = 0 -30 + -39.5b = 23.5 + 0 -30 + -39.5b = 23.5 Add '30' to each side of the equation. -30 + 30 + -39.5b = 23.5 + 30 Combine like terms: -30 + 30 = 0 0 + -39.5b = 23.5 + 30 -39.5b = 23.5 + 30 Combine like terms: 23.5 + 30 = 53.5 -39.5b = 53.5 Divide each side by '-39.5'. b = -1.35443038 Simplifying b = -1.35443038
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