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Simplifying 2ax + 3by + -1(a + 2b) = 0 2ax + 3by + (a * -1 + 2b * -1) = 0 2ax + 3by + (-1a + -2b) = 0 Reorder the terms: -1a + 2ax + -2b + 3by = 0 Solving -1a + 2ax + -2b + 3by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. -1a + 2ax + -2b + 2b + 3by = 0 + 2b Combine like terms: -2b + 2b = 0 -1a + 2ax + 0 + 3by = 0 + 2b -1a + 2ax + 3by = 0 + 2b Remove the zero: -1a + 2ax + 3by = 2b Add '-3by' to each side of the equation. -1a + 2ax + 3by + -3by = 2b + -3by Combine like terms: 3by + -3by = 0 -1a + 2ax + 0 = 2b + -3by -1a + 2ax = 2b + -3by Reorder the terms: -1a + 2ax + -2b + 3by = 2b + -2b + -3by + 3by Combine like terms: 2b + -2b = 0 -1a + 2ax + -2b + 3by = 0 + -3by + 3by -1a + 2ax + -2b + 3by = -3by + 3by Combine like terms: -3by + 3by = 0 -1a + 2ax + -2b + 3by = 0 The solution to this equation could not be determined.
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