5.5=38.5x+4(-10q+2)

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Solution for 5.5=38.5x+4(-10q+2) equation: 


Simplifying
5.5 = 38.5x + 4(-10q + 2)

Reorder the terms:
5.5 = 38.5x + 4(2 + -10q)
5.5 = 38.5x + (2 * 4 + -10q * 4)
5.5 = 38.5x + (8 + -40q)

Reorder the terms:
5.5 = 8 + -40q + 38.5x

Solving
5.5 = 8 + -40q + 38.5x

Solving for variable 'q'.

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

Add '40q' to each side of the equation.
5.5 + 40q = 8 + -40q + 40q + 38.5x

Combine like terms: -40q + 40q = 0
5.5 + 40q = 8 + 0 + 38.5x
5.5 + 40q = 8 + 38.5x

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 40q = 8 + -5.5 + 38.5x

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 40q = 8 + -5.5 + 38.5x
40q = 8 + -5.5 + 38.5x

Combine like terms: 8 + -5.5 = 2.5
40q = 2.5 + 38.5x

Divide each side by '40'.
q = 0.0625 + 0.9625x

Simplifying
q = 0.0625 + 0.9625x

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