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Simplifying 100 = 10b + 3g + 50 + -0.5b + -0.5g Reorder the terms: 100 = 50 + 10b + -0.5b + 3g + -0.5g Combine like terms: 10b + -0.5b = 9.5b 100 = 50 + 9.5b + 3g + -0.5g Combine like terms: 3g + -0.5g = 2.5g 100 = 50 + 9.5b + 2.5g Solving 100 = 50 + 9.5b + 2.5g Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9.5b' to each side of the equation. 100 + -9.5b = 50 + 9.5b + -9.5b + 2.5g Combine like terms: 9.5b + -9.5b = 0.0 100 + -9.5b = 50 + 0.0 + 2.5g 100 + -9.5b = 50 + 2.5g Add '-100' to each side of the equation. 100 + -100 + -9.5b = 50 + -100 + 2.5g Combine like terms: 100 + -100 = 0 0 + -9.5b = 50 + -100 + 2.5g -9.5b = 50 + -100 + 2.5g Combine like terms: 50 + -100 = -50 -9.5b = -50 + 2.5g Divide each side by '-9.5'. b = 5.263157895 + -0.2631578947g Simplifying b = 5.263157895 + -0.2631578947g
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