q=89-.50[89-.50q]

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Solution for q=89-.50[89-.50q] equation:


Simplifying
q = 89 + -0.50[89 + -0.50q]
q = 89 + [89 * -0.50 + -0.50q * -0.50]
q = 89 + [-44.5 + 0.25q]

Combine like terms: 89 + -44.5 = 44.5
q = 44.5 + 0.25q

Solving
q = 44.5 + 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 = 44.5 + 0.25q + -0.25q

Combine like terms: q + -0.25q = 0.75q
0.75q = 44.5 + 0.25q + -0.25q

Combine like terms: 0.25q + -0.25q = 0.00
0.75q = 44.5 + 0.00
0.75q = 44.5

Divide each side by '0.75'.
q = 59.33333333

Simplifying
q = 59.33333333

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