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Simplifying 0.75b + 6 + -1.50b = 7 + -0.5 + -1 Reorder the terms: 6 + 0.75b + -1.50b = 7 + -0.5 + -1 Combine like terms: 0.75b + -1.50b = -0.75b 6 + -0.75b = 7 + -0.5 + -1 Combine like terms: 7 + -0.5 = 6.5 6 + -0.75b = 6.5 + -1 Combine like terms: 6.5 + -1 = 5.5 6 + -0.75b = 5.5 Solving 6 + -0.75b = 5.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -0.75b = 5.5 + -6 Combine like terms: 6 + -6 = 0 0 + -0.75b = 5.5 + -6 -0.75b = 5.5 + -6 Combine like terms: 5.5 + -6 = -0.5 -0.75b = -0.5 Divide each side by '-0.75'. b = 0.6666666667 Simplifying b = 0.6666666667
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