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Simplifying (3B + -2)(5b + -7) = 0 Reorder the terms: (-2 + 3B)(5b + -7) = 0 Reorder the terms: (-2 + 3B)(-7 + 5b) = 0 Multiply (-2 + 3B) * (-7 + 5b) (-2(-7 + 5b) + 3B * (-7 + 5b)) = 0 ((-7 * -2 + 5b * -2) + 3B * (-7 + 5b)) = 0 ((14 + -10b) + 3B * (-7 + 5b)) = 0 (14 + -10b + (-7 * 3B + 5b * 3B)) = 0 (14 + -10b + (-21B + 15bB)) = 0 Reorder the terms: (14 + -21B + -10b + 15bB) = 0 (14 + -21B + -10b + 15bB) = 0 Solving 14 + -21B + -10b + 15bB = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -21B + -10b + -14 + 15bB = 0 + -14 Reorder the terms: 14 + -14 + -21B + -10b + 15bB = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -21B + -10b + 15bB = 0 + -14 -21B + -10b + 15bB = 0 + -14 Combine like terms: 0 + -14 = -14 -21B + -10b + 15bB = -14 Add '10b' to each side of the equation. -21B + -10b + 10b + 15bB = -14 + 10b Combine like terms: -10b + 10b = 0 -21B + 0 + 15bB = -14 + 10b -21B + 15bB = -14 + 10b Reorder the terms: 14 + -21B + -10b + 15bB = -14 + 10b + 14 + -10b Reorder the terms: 14 + -21B + -10b + 15bB = -14 + 14 + 10b + -10b Combine like terms: -14 + 14 = 0 14 + -21B + -10b + 15bB = 0 + 10b + -10b 14 + -21B + -10b + 15bB = 10b + -10b Combine like terms: 10b + -10b = 0 14 + -21B + -10b + 15bB = 0 The solution to this equation could not be determined.
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