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Simplifying (a + 1)(10 + -1b) = 12 Reorder the terms: (1 + a)(10 + -1b) = 12 Multiply (1 + a) * (10 + -1b) (1(10 + -1b) + a(10 + -1b)) = 12 ((10 * 1 + -1b * 1) + a(10 + -1b)) = 12 ((10 + -1b) + a(10 + -1b)) = 12 (10 + -1b + (10 * a + -1b * a)) = 12 (10 + -1b + (10a + -1ab)) = 12 Reorder the terms: (10 + 10a + -1ab + -1b) = 12 (10 + 10a + -1ab + -1b) = 12 Solving 10 + 10a + -1ab + -1b = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 10a + -1ab + -10 + -1b = 12 + -10 Reorder the terms: 10 + -10 + 10a + -1ab + -1b = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 10a + -1ab + -1b = 12 + -10 10a + -1ab + -1b = 12 + -10 Combine like terms: 12 + -10 = 2 10a + -1ab + -1b = 2 Add 'b' to each side of the equation. 10a + -1ab + -1b + b = 2 + b Combine like terms: -1b + b = 0 10a + -1ab + 0 = 2 + b 10a + -1ab = 2 + b Reorder the terms: -2 + 10a + -1ab + -1b = 2 + b + -2 + -1b Reorder the terms: -2 + 10a + -1ab + -1b = 2 + -2 + b + -1b Combine like terms: 2 + -2 = 0 -2 + 10a + -1ab + -1b = 0 + b + -1b -2 + 10a + -1ab + -1b = b + -1b Combine like terms: b + -1b = 0 -2 + 10a + -1ab + -1b = 0 The solution to this equation could not be determined.
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