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Simplifying 5(3ax + y) = 8ax + -3yforx (3ax * 5 + y * 5) = 8ax + -3yforx (15ax + 5y) = 8ax + -3yforx Solving 15ax + 5y = 8ax + -3forxy Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8ax' to each side of the equation. 15ax + -8ax + 5y = 8ax + -8ax + -3forxy Combine like terms: 15ax + -8ax = 7ax 7ax + 5y = 8ax + -8ax + -3forxy Combine like terms: 8ax + -8ax = 0 7ax + 5y = 0 + -3forxy 7ax + 5y = -3forxy Add '-5y' to each side of the equation. 7ax + 5y + -5y = -3forxy + -5y Combine like terms: 5y + -5y = 0 7ax + 0 = -3forxy + -5y 7ax = -3forxy + -5y Divide each side by '7x'. a = -0.4285714286fory + -0.7142857143x-1y Simplifying a = -0.4285714286fory + -0.7142857143x-1y
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