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Simplifying 14.5 + 0.5b = 12 + 0.75b Solving 14.5 + 0.5b = 12 + 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. 14.5 + 0.5b + -0.75b = 12 + 0.75b + -0.75b Combine like terms: 0.5b + -0.75b = -0.25b 14.5 + -0.25b = 12 + 0.75b + -0.75b Combine like terms: 0.75b + -0.75b = 0.00 14.5 + -0.25b = 12 + 0.00 14.5 + -0.25b = 12 Add '-14.5' to each side of the equation. 14.5 + -14.5 + -0.25b = 12 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -0.25b = 12 + -14.5 -0.25b = 12 + -14.5 Combine like terms: 12 + -14.5 = -2.5 -0.25b = -2.5 Divide each side by '-0.25'. b = 10 Simplifying b = 10
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