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Simplifying 0.33(b + 8) = 0.25b + 8 Reorder the terms: 0.33(8 + b) = 0.25b + 8 (8 * 0.33 + b * 0.33) = 0.25b + 8 (2.64 + 0.33b) = 0.25b + 8 Reorder the terms: 2.64 + 0.33b = 8 + 0.25b Solving 2.64 + 0.33b = 8 + 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. 2.64 + 0.33b + -0.25b = 8 + 0.25b + -0.25b Combine like terms: 0.33b + -0.25b = 0.08b 2.64 + 0.08b = 8 + 0.25b + -0.25b Combine like terms: 0.25b + -0.25b = 0.00 2.64 + 0.08b = 8 + 0.00 2.64 + 0.08b = 8 Add '-2.64' to each side of the equation. 2.64 + -2.64 + 0.08b = 8 + -2.64 Combine like terms: 2.64 + -2.64 = 0.00 0.00 + 0.08b = 8 + -2.64 0.08b = 8 + -2.64 Combine like terms: 8 + -2.64 = 5.36 0.08b = 5.36 Divide each side by '0.08'. b = 67 Simplifying b = 67
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