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Simplifying (a + -2)(b + 2) = ab Reorder the terms: (-2 + a)(b + 2) = ab Reorder the terms: (-2 + a)(2 + b) = ab Multiply (-2 + a) * (2 + b) (-2(2 + b) + a(2 + b)) = ab ((2 * -2 + b * -2) + a(2 + b)) = ab ((-4 + -2b) + a(2 + b)) = ab (-4 + -2b + (2 * a + b * a)) = ab (-4 + -2b + (2a + ab)) = ab Reorder the terms: (-4 + 2a + ab + -2b) = ab (-4 + 2a + ab + -2b) = ab Add '-1ab' to each side of the equation. -4 + 2a + ab + -1ab + -2b = ab + -1ab Combine like terms: ab + -1ab = 0 -4 + 2a + 0 + -2b = ab + -1ab -4 + 2a + -2b = ab + -1ab Combine like terms: ab + -1ab = 0 -4 + 2a + -2b = 0 Solving -4 + 2a + -2b = 0 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 + 4 + -2b = 0 + 4 Reorder the terms: -4 + 4 + 2a + -2b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2a + -2b = 0 + 4 2a + -2b = 0 + 4 Combine like terms: 0 + 4 = 4 2a + -2b = 4 Add '2b' to each side of the equation. 2a + -2b + 2b = 4 + 2b Combine like terms: -2b + 2b = 0 2a + 0 = 4 + 2b 2a = 4 + 2b Divide each side by '2'. a = 2 + b Simplifying a = 2 + b
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