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Simplifying (4x + -1y) * a + (y + -4x) * b = 0 Reorder the terms for easier multiplication: a(4x + -1y) + (y + -4x) * b = 0 (4x * a + -1y * a) + (y + -4x) * b = 0 (4ax + -1ay) + (y + -4x) * b = 0 Reorder the terms: 4ax + -1ay + (-4x + y) * b = 0 Reorder the terms for easier multiplication: 4ax + -1ay + b(-4x + y) = 0 4ax + -1ay + (-4x * b + y * b) = 0 4ax + -1ay + (-4bx + by) = 0 Solving 4ax + -1ay + -4bx + by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4bx' to each side of the equation. 4ax + -1ay + -4bx + 4bx + by = 0 + 4bx Combine like terms: -4bx + 4bx = 0 4ax + -1ay + 0 + by = 0 + 4bx 4ax + -1ay + by = 0 + 4bx Remove the zero: 4ax + -1ay + by = 4bx Add '-1by' to each side of the equation. 4ax + -1ay + by + -1by = 4bx + -1by Combine like terms: by + -1by = 0 4ax + -1ay + 0 = 4bx + -1by 4ax + -1ay = 4bx + -1by Reorder the terms: 4ax + -1ay + -4bx + by = 4bx + -4bx + -1by + by Combine like terms: 4bx + -4bx = 0 4ax + -1ay + -4bx + by = 0 + -1by + by 4ax + -1ay + -4bx + by = -1by + by Combine like terms: -1by + by = 0 4ax + -1ay + -4bx + by = 0 The solution to this equation could not be determined.
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