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Simplifying 2a(x + 5y) + -1b(x + 5y) = 0 (x * 2a + 5y * 2a) + -1b(x + 5y) = 0 (2ax + 10ay) + -1b(x + 5y) = 0 2ax + 10ay + (x * -1b + 5y * -1b) = 0 2ax + 10ay + (-1bx + -5by) = 0 Solving 2ax + 10ay + -1bx + -5by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bx' to each side of the equation. 2ax + 10ay + -1bx + bx + -5by = 0 + bx Combine like terms: -1bx + bx = 0 2ax + 10ay + 0 + -5by = 0 + bx 2ax + 10ay + -5by = 0 + bx Remove the zero: 2ax + 10ay + -5by = bx Add '5by' to each side of the equation. 2ax + 10ay + -5by + 5by = bx + 5by Combine like terms: -5by + 5by = 0 2ax + 10ay + 0 = bx + 5by 2ax + 10ay = bx + 5by Reorder the terms: 2ax + 10ay + -1bx + -5by = bx + -1bx + 5by + -5by Combine like terms: bx + -1bx = 0 2ax + 10ay + -1bx + -5by = 0 + 5by + -5by 2ax + 10ay + -1bx + -5by = 5by + -5by Combine like terms: 5by + -5by = 0 2ax + 10ay + -1bx + -5by = 0 The solution to this equation could not be determined.
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