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Simplifying (a + 1)(2b + -3) = 13 Reorder the terms: (1 + a)(2b + -3) = 13 Reorder the terms: (1 + a)(-3 + 2b) = 13 Multiply (1 + a) * (-3 + 2b) (1(-3 + 2b) + a(-3 + 2b)) = 13 ((-3 * 1 + 2b * 1) + a(-3 + 2b)) = 13 ((-3 + 2b) + a(-3 + 2b)) = 13 (-3 + 2b + (-3 * a + 2b * a)) = 13 (-3 + 2b + (-3a + 2ab)) = 13 Reorder the terms: (-3 + -3a + 2ab + 2b) = 13 (-3 + -3a + 2ab + 2b) = 13 Solving -3 + -3a + 2ab + 2b = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3a + 2ab + 3 + 2b = 13 + 3 Reorder the terms: -3 + 3 + -3a + 2ab + 2b = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -3a + 2ab + 2b = 13 + 3 -3a + 2ab + 2b = 13 + 3 Combine like terms: 13 + 3 = 16 -3a + 2ab + 2b = 16 Add '-2b' to each side of the equation. -3a + 2ab + 2b + -2b = 16 + -2b Combine like terms: 2b + -2b = 0 -3a + 2ab + 0 = 16 + -2b -3a + 2ab = 16 + -2b Reorder the terms: -16 + -3a + 2ab + 2b = 16 + -2b + -16 + 2b Reorder the terms: -16 + -3a + 2ab + 2b = 16 + -16 + -2b + 2b Combine like terms: 16 + -16 = 0 -16 + -3a + 2ab + 2b = 0 + -2b + 2b -16 + -3a + 2ab + 2b = -2b + 2b Combine like terms: -2b + 2b = 0 -16 + -3a + 2ab + 2b = 0 The solution to this equation could not be determined.
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