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Simplifying (a + -2)(2b + 3) = 26 Reorder the terms: (-2 + a)(2b + 3) = 26 Reorder the terms: (-2 + a)(3 + 2b) = 26 Multiply (-2 + a) * (3 + 2b) (-2(3 + 2b) + a(3 + 2b)) = 26 ((3 * -2 + 2b * -2) + a(3 + 2b)) = 26 ((-6 + -4b) + a(3 + 2b)) = 26 (-6 + -4b + (3 * a + 2b * a)) = 26 (-6 + -4b + (3a + 2ab)) = 26 Reorder the terms: (-6 + 3a + 2ab + -4b) = 26 (-6 + 3a + 2ab + -4b) = 26 Solving -6 + 3a + 2ab + -4b = 26 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3a + 2ab + 6 + -4b = 26 + 6 Reorder the terms: -6 + 6 + 3a + 2ab + -4b = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 3a + 2ab + -4b = 26 + 6 3a + 2ab + -4b = 26 + 6 Combine like terms: 26 + 6 = 32 3a + 2ab + -4b = 32 Add '4b' to each side of the equation. 3a + 2ab + -4b + 4b = 32 + 4b Combine like terms: -4b + 4b = 0 3a + 2ab + 0 = 32 + 4b 3a + 2ab = 32 + 4b Reorder the terms: -32 + 3a + 2ab + -4b = 32 + 4b + -32 + -4b Reorder the terms: -32 + 3a + 2ab + -4b = 32 + -32 + 4b + -4b Combine like terms: 32 + -32 = 0 -32 + 3a + 2ab + -4b = 0 + 4b + -4b -32 + 3a + 2ab + -4b = 4b + -4b Combine like terms: 4b + -4b = 0 -32 + 3a + 2ab + -4b = 0 The solution to this equation could not be determined.
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