q=30-.50[30-.50q]

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Solution for q=30-.50[30-.50q] equation: 


Simplifying
q = 30 + -0.50[30 + -0.50q]
q = 30 + [30 * -0.50 + -0.50q * -0.50]
q = 30 + [-15 + 0.25q]

Combine like terms: 30 + -15 = 15
q = 15 + 0.25q

Solving
q = 15 + 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 = 15 + 0.25q + -0.25q

Combine like terms: q + -0.25q = 0.75q
0.75q = 15 + 0.25q + -0.25q

Combine like terms: 0.25q + -0.25q = 0.00
0.75q = 15 + 0.00
0.75q = 15

Divide each side by '0.75'.
q = 20

Simplifying
q = 20

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