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Simplifying (b + -2)(a + 2) = 16 Reorder the terms: (-2 + b)(a + 2) = 16 Reorder the terms: (-2 + b)(2 + a) = 16 Multiply (-2 + b) * (2 + a) (-2(2 + a) + b(2 + a)) = 16 ((2 * -2 + a * -2) + b(2 + a)) = 16 ((-4 + -2a) + b(2 + a)) = 16 (-4 + -2a + (2 * b + a * b)) = 16 Reorder the terms: (-4 + -2a + (ab + 2b)) = 16 (-4 + -2a + (ab + 2b)) = 16 (-4 + -2a + ab + 2b) = 16 Solving -4 + -2a + ab + 2b = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2a + ab + 4 + 2b = 16 + 4 Reorder the terms: -4 + 4 + -2a + ab + 2b = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -2a + ab + 2b = 16 + 4 -2a + ab + 2b = 16 + 4 Combine like terms: 16 + 4 = 20 -2a + ab + 2b = 20 Add '-2b' to each side of the equation. -2a + ab + 2b + -2b = 20 + -2b Combine like terms: 2b + -2b = 0 -2a + ab + 0 = 20 + -2b -2a + ab = 20 + -2b Reorder the terms: -20 + -2a + ab + 2b = 20 + -2b + -20 + 2b Reorder the terms: -20 + -2a + ab + 2b = 20 + -20 + -2b + 2b Combine like terms: 20 + -20 = 0 -20 + -2a + ab + 2b = 0 + -2b + 2b -20 + -2a + ab + 2b = -2b + 2b Combine like terms: -2b + 2b = 0 -20 + -2a + ab + 2b = 0 The solution to this equation could not be determined.
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