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Simplifying 3x(a + -1b) + 4y(b + -1a) = 0 (a * 3x + -1b * 3x) + 4y(b + -1a) = 0 (3ax + -3bx) + 4y(b + -1a) = 0 Reorder the terms: 3ax + -3bx + 4y(-1a + b) = 0 3ax + -3bx + (-1a * 4y + b * 4y) = 0 3ax + -3bx + (-4ay + 4by) = 0 Reorder the terms: 3ax + -4ay + -3bx + 4by = 0 Solving 3ax + -4ay + -3bx + 4by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3bx' to each side of the equation. 3ax + -4ay + -3bx + 3bx + 4by = 0 + 3bx Combine like terms: -3bx + 3bx = 0 3ax + -4ay + 0 + 4by = 0 + 3bx 3ax + -4ay + 4by = 0 + 3bx Remove the zero: 3ax + -4ay + 4by = 3bx Add '-4by' to each side of the equation. 3ax + -4ay + 4by + -4by = 3bx + -4by Combine like terms: 4by + -4by = 0 3ax + -4ay + 0 = 3bx + -4by 3ax + -4ay = 3bx + -4by Reorder the terms: 3ax + -4ay + -3bx + 4by = 3bx + -3bx + -4by + 4by Combine like terms: 3bx + -3bx = 0 3ax + -4ay + -3bx + 4by = 0 + -4by + 4by 3ax + -4ay + -3bx + 4by = -4by + 4by Combine like terms: -4by + 4by = 0 3ax + -4ay + -3bx + 4by = 0 The solution to this equation could not be determined.
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