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Simplifying 1.5(9b + -27) = 36 Reorder the terms: 1.5(-27 + 9b) = 36 (-27 * 1.5 + 9b * 1.5) = 36 (-40.5 + 13.5b) = 36 Solving -40.5 + 13.5b = 36 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40.5' to each side of the equation. -40.5 + 40.5 + 13.5b = 36 + 40.5 Combine like terms: -40.5 + 40.5 = 0.0 0.0 + 13.5b = 36 + 40.5 13.5b = 36 + 40.5 Combine like terms: 36 + 40.5 = 76.5 13.5b = 76.5 Divide each side by '13.5'. b = 5.666666667 Simplifying b = 5.666666667
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