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Simplifying (2b + 5)(a + -4) = 0 Reorder the terms: (5 + 2b)(a + -4) = 0 Reorder the terms: (5 + 2b)(-4 + a) = 0 Multiply (5 + 2b) * (-4 + a) (5(-4 + a) + 2b * (-4 + a)) = 0 ((-4 * 5 + a * 5) + 2b * (-4 + a)) = 0 ((-20 + 5a) + 2b * (-4 + a)) = 0 (-20 + 5a + (-4 * 2b + a * 2b)) = 0 Reorder the terms: (-20 + 5a + (2ab + -8b)) = 0 (-20 + 5a + (2ab + -8b)) = 0 (-20 + 5a + 2ab + -8b) = 0 Solving -20 + 5a + 2ab + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 5a + 2ab + 20 + -8b = 0 + 20 Reorder the terms: -20 + 20 + 5a + 2ab + -8b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5a + 2ab + -8b = 0 + 20 5a + 2ab + -8b = 0 + 20 Combine like terms: 0 + 20 = 20 5a + 2ab + -8b = 20 Add '8b' to each side of the equation. 5a + 2ab + -8b + 8b = 20 + 8b Combine like terms: -8b + 8b = 0 5a + 2ab + 0 = 20 + 8b 5a + 2ab = 20 + 8b Reorder the terms: -20 + 5a + 2ab + -8b = 20 + 8b + -20 + -8b Reorder the terms: -20 + 5a + 2ab + -8b = 20 + -20 + 8b + -8b Combine like terms: 20 + -20 = 0 -20 + 5a + 2ab + -8b = 0 + 8b + -8b -20 + 5a + 2ab + -8b = 8b + -8b Combine like terms: 8b + -8b = 0 -20 + 5a + 2ab + -8b = 0 The solution to this equation could not be determined.
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