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Simplifying (2a + 1)(b + -1) = 28 Reorder the terms: (1 + 2a)(b + -1) = 28 Reorder the terms: (1 + 2a)(-1 + b) = 28 Multiply (1 + 2a) * (-1 + b) (1(-1 + b) + 2a * (-1 + b)) = 28 ((-1 * 1 + b * 1) + 2a * (-1 + b)) = 28 ((-1 + 1b) + 2a * (-1 + b)) = 28 (-1 + 1b + (-1 * 2a + b * 2a)) = 28 (-1 + 1b + (-2a + 2ab)) = 28 Reorder the terms: (-1 + -2a + 2ab + 1b) = 28 (-1 + -2a + 2ab + 1b) = 28 Solving -1 + -2a + 2ab + 1b = 28 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2a + 2ab + 1 + 1b = 28 + 1 Reorder the terms: -1 + 1 + -2a + 2ab + 1b = 28 + 1 Combine like terms: -1 + 1 = 0 0 + -2a + 2ab + 1b = 28 + 1 -2a + 2ab + 1b = 28 + 1 Combine like terms: 28 + 1 = 29 -2a + 2ab + 1b = 29 Add '-1b' to each side of the equation. -2a + 2ab + 1b + -1b = 29 + -1b Combine like terms: 1b + -1b = 0 -2a + 2ab + 0 = 29 + -1b -2a + 2ab = 29 + -1b Reorder the terms: -29 + -2a + 2ab + b = 29 + -1b + -29 + b Reorder the terms: -29 + -2a + 2ab + b = 29 + -29 + -1b + b Combine like terms: 29 + -29 = 0 -29 + -2a + 2ab + b = 0 + -1b + b -29 + -2a + 2ab + b = -1b + b Combine like terms: -1b + b = 0 -29 + -2a + 2ab + b = 0 The solution to this equation could not be determined.
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