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Simplifying (7a + 5)(7b + 6) = 0 Reorder the terms: (5 + 7a)(7b + 6) = 0 Reorder the terms: (5 + 7a)(6 + 7b) = 0 Multiply (5 + 7a) * (6 + 7b) (5(6 + 7b) + 7a * (6 + 7b)) = 0 ((6 * 5 + 7b * 5) + 7a * (6 + 7b)) = 0 ((30 + 35b) + 7a * (6 + 7b)) = 0 (30 + 35b + (6 * 7a + 7b * 7a)) = 0 (30 + 35b + (42a + 49ab)) = 0 Reorder the terms: (30 + 42a + 49ab + 35b) = 0 (30 + 42a + 49ab + 35b) = 0 Solving 30 + 42a + 49ab + 35b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 42a + 49ab + -30 + 35b = 0 + -30 Reorder the terms: 30 + -30 + 42a + 49ab + 35b = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 42a + 49ab + 35b = 0 + -30 42a + 49ab + 35b = 0 + -30 Combine like terms: 0 + -30 = -30 42a + 49ab + 35b = -30 Add '-35b' to each side of the equation. 42a + 49ab + 35b + -35b = -30 + -35b Combine like terms: 35b + -35b = 0 42a + 49ab + 0 = -30 + -35b 42a + 49ab = -30 + -35b Reorder the terms: 30 + 42a + 49ab + 35b = -30 + -35b + 30 + 35b Reorder the terms: 30 + 42a + 49ab + 35b = -30 + 30 + -35b + 35b Combine like terms: -30 + 30 = 0 30 + 42a + 49ab + 35b = 0 + -35b + 35b 30 + 42a + 49ab + 35b = -35b + 35b Combine like terms: -35b + 35b = 0 30 + 42a + 49ab + 35b = 0 The solution to this equation could not be determined.
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