qx+r=SX+d

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Solution for qx+r=SX+d equation: 


Simplifying
qx + r = SX + d

Solving
qx + r = SX + d

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-1r' to each side of the equation.
qx + r + -1r = SX + d + -1r

Combine like terms: r + -1r = 0
qx + 0 = SX + d + -1r
qx = SX + d + -1r

Divide each side by 'x'.
q = x-1SX + dx-1 + -1rx-1

Simplifying
q = x-1SX + dx-1 + -1rx-1

Reorder the terms:
q = dx-1 + -1rx-1 + x-1SX

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