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Simplifying (a + -4)(b + 8) = 0 Reorder the terms: (-4 + a)(b + 8) = 0 Reorder the terms: (-4 + a)(8 + b) = 0 Multiply (-4 + a) * (8 + b) (-4(8 + b) + a(8 + b)) = 0 ((8 * -4 + b * -4) + a(8 + b)) = 0 ((-32 + -4b) + a(8 + b)) = 0 (-32 + -4b + (8 * a + b * a)) = 0 (-32 + -4b + (8a + ab)) = 0 Reorder the terms: (-32 + 8a + ab + -4b) = 0 (-32 + 8a + ab + -4b) = 0 Solving -32 + 8a + ab + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 8a + ab + 32 + -4b = 0 + 32 Reorder the terms: -32 + 32 + 8a + ab + -4b = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8a + ab + -4b = 0 + 32 8a + ab + -4b = 0 + 32 Combine like terms: 0 + 32 = 32 8a + ab + -4b = 32 Add '4b' to each side of the equation. 8a + ab + -4b + 4b = 32 + 4b Combine like terms: -4b + 4b = 0 8a + ab + 0 = 32 + 4b 8a + ab = 32 + 4b Reorder the terms: -32 + 8a + ab + -4b = 32 + 4b + -32 + -4b Reorder the terms: -32 + 8a + ab + -4b = 32 + -32 + 4b + -4b Combine like terms: 32 + -32 = 0 -32 + 8a + ab + -4b = 0 + 4b + -4b -32 + 8a + ab + -4b = 4b + -4b Combine like terms: 4b + -4b = 0 -32 + 8a + ab + -4b = 0 The solution to this equation could not be determined.
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