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Simplifying 0 = 2a2(3x + -1y) + -5b3(3x + -1y) 0 = (3x * 2a2 + -1y * 2a2) + -5b3(3x + -1y) 0 = (6a2x + -2a2y) + -5b3(3x + -1y) 0 = 6a2x + -2a2y + (3x * -5b3 + -1y * -5b3) 0 = 6a2x + -2a2y + (-15b3x + 5b3y) Solving 0 = 6a2x + -2a2y + -15b3x + 5b3y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a2x' to each side of the equation. 0 + -6a2x = 6a2x + -2a2y + -15b3x + -6a2x + 5b3y Remove the zero: -6a2x = 6a2x + -2a2y + -15b3x + -6a2x + 5b3y Reorder the terms: -6a2x = 6a2x + -6a2x + -2a2y + -15b3x + 5b3y Combine like terms: 6a2x + -6a2x = 0 -6a2x = 0 + -2a2y + -15b3x + 5b3y -6a2x = -2a2y + -15b3x + 5b3y Add '2a2y' to each side of the equation. -6a2x + 2a2y = -2a2y + -15b3x + 2a2y + 5b3y Reorder the terms: -6a2x + 2a2y = -2a2y + 2a2y + -15b3x + 5b3y Combine like terms: -2a2y + 2a2y = 0 -6a2x + 2a2y = 0 + -15b3x + 5b3y -6a2x + 2a2y = -15b3x + 5b3y Reorder the terms: -6a2x + 2a2y + 15b3x + -5b3y = -15b3x + 15b3x + 5b3y + -5b3y Combine like terms: -15b3x + 15b3x = 0 -6a2x + 2a2y + 15b3x + -5b3y = 0 + 5b3y + -5b3y -6a2x + 2a2y + 15b3x + -5b3y = 5b3y + -5b3y Combine like terms: 5b3y + -5b3y = 0 -6a2x + 2a2y + 15b3x + -5b3y = 0 The solution to this equation could not be determined.
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