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Simplifying (9x + 11y)(12a + -13b) = 0 Multiply (9x + 11y) * (12a + -13b) (9x * (12a + -13b) + 11y * (12a + -13b)) = 0 ((12a * 9x + -13b * 9x) + 11y * (12a + -13b)) = 0 ((108ax + -117bx) + 11y * (12a + -13b)) = 0 (108ax + -117bx + (12a * 11y + -13b * 11y)) = 0 (108ax + -117bx + (132ay + -143by)) = 0 Reorder the terms: (108ax + 132ay + -117bx + -143by) = 0 (108ax + 132ay + -117bx + -143by) = 0 Solving 108ax + 132ay + -117bx + -143by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '117bx' to each side of the equation. 108ax + 132ay + -117bx + 117bx + -143by = 0 + 117bx Combine like terms: -117bx + 117bx = 0 108ax + 132ay + 0 + -143by = 0 + 117bx 108ax + 132ay + -143by = 0 + 117bx Remove the zero: 108ax + 132ay + -143by = 117bx Add '143by' to each side of the equation. 108ax + 132ay + -143by + 143by = 117bx + 143by Combine like terms: -143by + 143by = 0 108ax + 132ay + 0 = 117bx + 143by 108ax + 132ay = 117bx + 143by Reorder the terms: 108ax + 132ay + -117bx + -143by = 117bx + -117bx + 143by + -143by Combine like terms: 117bx + -117bx = 0 108ax + 132ay + -117bx + -143by = 0 + 143by + -143by 108ax + 132ay + -117bx + -143by = 143by + -143by Combine like terms: 143by + -143by = 0 108ax + 132ay + -117bx + -143by = 0 The solution to this equation could not be determined.
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