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Simplifying (B + 5)(b + 10) = 6 Reorder the terms: (5 + B)(b + 10) = 6 Reorder the terms: (5 + B)(10 + b) = 6 Multiply (5 + B) * (10 + b) (5(10 + b) + B(10 + b)) = 6 ((10 * 5 + b * 5) + B(10 + b)) = 6 ((50 + 5b) + B(10 + b)) = 6 (50 + 5b + (10 * B + b * B)) = 6 (50 + 5b + (10B + bB)) = 6 Reorder the terms: (50 + 10B + 5b + bB) = 6 (50 + 10B + 5b + bB) = 6 Solving 50 + 10B + 5b + bB = 6 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 10B + 5b + -50 + bB = 6 + -50 Reorder the terms: 50 + -50 + 10B + 5b + bB = 6 + -50 Combine like terms: 50 + -50 = 0 0 + 10B + 5b + bB = 6 + -50 10B + 5b + bB = 6 + -50 Combine like terms: 6 + -50 = -44 10B + 5b + bB = -44 Add '-5b' to each side of the equation. 10B + 5b + -5b + bB = -44 + -5b Combine like terms: 5b + -5b = 0 10B + 0 + bB = -44 + -5b 10B + bB = -44 + -5b Reorder the terms: 44 + 10B + 5b + bB = -44 + -5b + 44 + 5b Reorder the terms: 44 + 10B + 5b + bB = -44 + 44 + -5b + 5b Combine like terms: -44 + 44 = 0 44 + 10B + 5b + bB = 0 + -5b + 5b 44 + 10B + 5b + bB = -5b + 5b Combine like terms: -5b + 5b = 0 44 + 10B + 5b + bB = 0 The solution to this equation could not be determined.
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