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Simplifying (B + -2)(b + 3) = 6 Reorder the terms: (-2 + B)(b + 3) = 6 Reorder the terms: (-2 + B)(3 + b) = 6 Multiply (-2 + B) * (3 + b) (-2(3 + b) + B(3 + b)) = 6 ((3 * -2 + b * -2) + B(3 + b)) = 6 ((-6 + -2b) + B(3 + b)) = 6 (-6 + -2b + (3 * B + b * B)) = 6 (-6 + -2b + (3B + bB)) = 6 Reorder the terms: (-6 + 3B + -2b + bB) = 6 (-6 + 3B + -2b + bB) = 6 Solving -6 + 3B + -2b + bB = 6 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3B + -2b + 6 + bB = 6 + 6 Reorder the terms: -6 + 6 + 3B + -2b + bB = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3B + -2b + bB = 6 + 6 3B + -2b + bB = 6 + 6 Combine like terms: 6 + 6 = 12 3B + -2b + bB = 12 Add '2b' to each side of the equation. 3B + -2b + 2b + bB = 12 + 2b Combine like terms: -2b + 2b = 0 3B + 0 + bB = 12 + 2b 3B + bB = 12 + 2b Reorder the terms: -12 + 3B + -2b + bB = 12 + 2b + -12 + -2b Reorder the terms: -12 + 3B + -2b + bB = 12 + -12 + 2b + -2b Combine like terms: 12 + -12 = 0 -12 + 3B + -2b + bB = 0 + 2b + -2b -12 + 3B + -2b + bB = 2b + -2b Combine like terms: 2b + -2b = 0 -12 + 3B + -2b + bB = 0 The solution to this equation could not be determined.
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