q=97.5-.5(97.5-.5q)

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Solution for q=97.5-.5(97.5-.5q) equation: 


Simplifying
q = 97.5 + -0.5(97.5 + -0.5q)
q = 97.5 + (97.5 * -0.5 + -0.5q * -0.5)
q = 97.5 + (-48.75 + 0.25q)

Combine like terms: 97.5 + -48.75 = 48.75
q = 48.75 + 0.25q

Solving
q = 48.75 + 0.25q

Solving for variable 'q'.

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

Add '-0.25q' to each side of the equation.
q + -0.25q = 48.75 + 0.25q + -0.25q

Combine like terms: q + -0.25q = 0.75q
0.75q = 48.75 + 0.25q + -0.25q

Combine like terms: 0.25q + -0.25q = 0.00
0.75q = 48.75 + 0.00
0.75q = 48.75

Divide each side by '0.75'.
q = 65

Simplifying
q = 65

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