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Simplifying ay + bf = ax + t Solving ay + bf = ax + t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ax' to each side of the equation. ay + -1ax + bf = ax + -1ax + t Reorder the terms: -1ax + ay + bf = ax + -1ax + t Combine like terms: ax + -1ax = 0 -1ax + ay + bf = 0 + t -1ax + ay + bf = t Add '-1bf' to each side of the equation. -1ax + ay + bf + -1bf = -1bf + t Combine like terms: bf + -1bf = 0 -1ax + ay + 0 = -1bf + t -1ax + ay = -1bf + t Reorder the terms: -1ax + ay + bf + -1t = -1bf + bf + t + -1t Combine like terms: -1bf + bf = 0 -1ax + ay + bf + -1t = 0 + t + -1t -1ax + ay + bf + -1t = t + -1t Combine like terms: t + -1t = 0 -1ax + ay + bf + -1t = 0 The solution to this equation could not be determined.
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