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Simplifying 12a(y + -1x) + 13b(y + -1x) = 0 Reorder the terms: 12a(-1x + y) + 13b(y + -1x) = 0 (-1x * 12a + y * 12a) + 13b(y + -1x) = 0 (-12ax + 12ay) + 13b(y + -1x) = 0 Reorder the terms: -12ax + 12ay + 13b(-1x + y) = 0 -12ax + 12ay + (-1x * 13b + y * 13b) = 0 -12ax + 12ay + (-13bx + 13by) = 0 Solving -12ax + 12ay + -13bx + 13by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13bx' to each side of the equation. -12ax + 12ay + -13bx + 13bx + 13by = 0 + 13bx Combine like terms: -13bx + 13bx = 0 -12ax + 12ay + 0 + 13by = 0 + 13bx -12ax + 12ay + 13by = 0 + 13bx Remove the zero: -12ax + 12ay + 13by = 13bx Add '-13by' to each side of the equation. -12ax + 12ay + 13by + -13by = 13bx + -13by Combine like terms: 13by + -13by = 0 -12ax + 12ay + 0 = 13bx + -13by -12ax + 12ay = 13bx + -13by Reorder the terms: -12ax + 12ay + -13bx + 13by = 13bx + -13bx + -13by + 13by Combine like terms: 13bx + -13bx = 0 -12ax + 12ay + -13bx + 13by = 0 + -13by + 13by -12ax + 12ay + -13bx + 13by = -13by + 13by Combine like terms: -13by + 13by = 0 -12ax + 12ay + -13bx + 13by = 0 The solution to this equation could not be determined.
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