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Simplifying (9a + 8b)(x + y) = 0 Multiply (9a + 8b) * (x + y) (9a * (x + y) + 8b * (x + y)) = 0 ((x * 9a + y * 9a) + 8b * (x + y)) = 0 ((9ax + 9ay) + 8b * (x + y)) = 0 (9ax + 9ay + (x * 8b + y * 8b)) = 0 (9ax + 9ay + (8bx + 8by)) = 0 (9ax + 9ay + 8bx + 8by) = 0 Solving 9ax + 9ay + 8bx + 8by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8bx' to each side of the equation. 9ax + 9ay + 8bx + -8bx + 8by = 0 + -8bx Combine like terms: 8bx + -8bx = 0 9ax + 9ay + 0 + 8by = 0 + -8bx 9ax + 9ay + 8by = 0 + -8bx Remove the zero: 9ax + 9ay + 8by = -8bx Add '-8by' to each side of the equation. 9ax + 9ay + 8by + -8by = -8bx + -8by Combine like terms: 8by + -8by = 0 9ax + 9ay + 0 = -8bx + -8by 9ax + 9ay = -8bx + -8by Reorder the terms: 9ax + 9ay + 8bx + 8by = -8bx + 8bx + -8by + 8by Combine like terms: -8bx + 8bx = 0 9ax + 9ay + 8bx + 8by = 0 + -8by + 8by 9ax + 9ay + 8bx + 8by = -8by + 8by Combine like terms: -8by + 8by = 0 9ax + 9ay + 8bx + 8by = 0 The solution to this equation could not be determined.
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