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Simplifying 0.5b + -0.625 = 0.75b + 0.375 Reorder the terms: -0.625 + 0.5b = 0.75b + 0.375 Reorder the terms: -0.625 + 0.5b = 0.375 + 0.75b Solving -0.625 + 0.5b = 0.375 + 0.75b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.75b' to each side of the equation. -0.625 + 0.5b + -0.75b = 0.375 + 0.75b + -0.75b Combine like terms: 0.5b + -0.75b = -0.25b -0.625 + -0.25b = 0.375 + 0.75b + -0.75b Combine like terms: 0.75b + -0.75b = 0.00 -0.625 + -0.25b = 0.375 + 0.00 -0.625 + -0.25b = 0.375 Add '0.625' to each side of the equation. -0.625 + 0.625 + -0.25b = 0.375 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + -0.25b = 0.375 + 0.625 -0.25b = 0.375 + 0.625 Combine like terms: 0.375 + 0.625 = 1 -0.25b = 1 Divide each side by '-0.25'. b = -4 Simplifying b = -4
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