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Simplifying 588 = (46b + -40) * 1.5 Reorder the terms: 588 = (-40 + 46b) * 1.5 Reorder the terms for easier multiplication: 588 = 1.5(-40 + 46b) 588 = (-40 * 1.5 + 46b * 1.5) 588 = (-60 + 69b) Solving 588 = -60 + 69b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-69b' to each side of the equation. 588 + -69b = -60 + 69b + -69b Combine like terms: 69b + -69b = 0 588 + -69b = -60 + 0 588 + -69b = -60 Add '-588' to each side of the equation. 588 + -588 + -69b = -60 + -588 Combine like terms: 588 + -588 = 0 0 + -69b = -60 + -588 -69b = -60 + -588 Combine like terms: -60 + -588 = -648 -69b = -648 Divide each side by '-69'. b = 9.391304348 Simplifying b = 9.391304348
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