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Simplifying 5x(a + -9b) + -6y(a + -9b) = 0 (a * 5x + -9b * 5x) + -6y(a + -9b) = 0 (5ax + -45bx) + -6y(a + -9b) = 0 5ax + -45bx + (a * -6y + -9b * -6y) = 0 5ax + -45bx + (-6ay + 54by) = 0 Reorder the terms: 5ax + -6ay + -45bx + 54by = 0 Solving 5ax + -6ay + -45bx + 54by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '45bx' to each side of the equation. 5ax + -6ay + -45bx + 45bx + 54by = 0 + 45bx Combine like terms: -45bx + 45bx = 0 5ax + -6ay + 0 + 54by = 0 + 45bx 5ax + -6ay + 54by = 0 + 45bx Remove the zero: 5ax + -6ay + 54by = 45bx Add '-54by' to each side of the equation. 5ax + -6ay + 54by + -54by = 45bx + -54by Combine like terms: 54by + -54by = 0 5ax + -6ay + 0 = 45bx + -54by 5ax + -6ay = 45bx + -54by Reorder the terms: 5ax + -6ay + -45bx + 54by = 45bx + -45bx + -54by + 54by Combine like terms: 45bx + -45bx = 0 5ax + -6ay + -45bx + 54by = 0 + -54by + 54by 5ax + -6ay + -45bx + 54by = -54by + 54by Combine like terms: -54by + 54by = 0 5ax + -6ay + -45bx + 54by = 0 The solution to this equation could not be determined.
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