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Simplifying -3d + 0.33(b + 3d) = 10 -3d + (b * 0.33 + 3d * 0.33) = 10 -3d + (0.33b + 0.99d) = 10 Reorder the terms: 0.33b + -3d + 0.99d = 10 Combine like terms: -3d + 0.99d = -2.01d 0.33b + -2.01d = 10 Solving 0.33b + -2.01d = 10 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2.01d' to each side of the equation. 0.33b + -2.01d + 2.01d = 10 + 2.01d Combine like terms: -2.01d + 2.01d = 0.00 0.33b + 0.00 = 10 + 2.01d 0.33b = 10 + 2.01d Divide each side by '0.33'. b = 30.3030303 + 6.090909091d Simplifying b = 30.3030303 + 6.090909091d
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