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Simplifying 0.75b + 4 = 0.25b + 10 Reorder the terms: 4 + 0.75b = 0.25b + 10 Reorder the terms: 4 + 0.75b = 10 + 0.25b Solving 4 + 0.75b = 10 + 0.25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.25b' to each side of the equation. 4 + 0.75b + -0.25b = 10 + 0.25b + -0.25b Combine like terms: 0.75b + -0.25b = 0.5b 4 + 0.5b = 10 + 0.25b + -0.25b Combine like terms: 0.25b + -0.25b = 0.00 4 + 0.5b = 10 + 0.00 4 + 0.5b = 10 Add '-4' to each side of the equation. 4 + -4 + 0.5b = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5b = 10 + -4 0.5b = 10 + -4 Combine like terms: 10 + -4 = 6 0.5b = 6 Divide each side by '0.5'. b = 12 Simplifying b = 12
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