57=0.11q+0.14(q-500)

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Solution for 57=0.11q+0.14(q-500) equation: 


Simplifying
57 = 0.11q + 0.14(q + -500)

Reorder the terms:
57 = 0.11q + 0.14(-500 + q)
57 = 0.11q + (-500 * 0.14 + q * 0.14)
57 = 0.11q + (-70 + 0.14q)

Reorder the terms:
57 = -70 + 0.11q + 0.14q

Combine like terms: 0.11q + 0.14q = 0.25q
57 = -70 + 0.25q

Solving
57 = -70 + 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.
57 + -0.25q = -70 + 0.25q + -0.25q

Combine like terms: 0.25q + -0.25q = 0.00
57 + -0.25q = -70 + 0.00
57 + -0.25q = -70

Add '-57' to each side of the equation.
57 + -57 + -0.25q = -70 + -57

Combine like terms: 57 + -57 = 0
0 + -0.25q = -70 + -57
-0.25q = -70 + -57

Combine like terms: -70 + -57 = -127
-0.25q = -127

Divide each side by '-0.25'.
q = 508

Simplifying
q = 508

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