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Simplifying -6b + -9.5 + 4.5b = -27.5 Reorder the terms: -9.5 + -6b + 4.5b = -27.5 Combine like terms: -6b + 4.5b = -1.5b -9.5 + -1.5b = -27.5 Solving -9.5 + -1.5b = -27.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + -1.5b = -27.5 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + -1.5b = -27.5 + 9.5 -1.5b = -27.5 + 9.5 Combine like terms: -27.5 + 9.5 = -18 -1.5b = -18 Divide each side by '-1.5'. b = 12 Simplifying b = 12
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