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

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


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

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

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

Combine like terms: 38.5q + -40q = -1.5q
5.5 = 8 + -1.5q

Solving
5.5 = 8 + -1.5q

Solving for variable 'q'.

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

Add '1.5q' to each side of the equation.
5.5 + 1.5q = 8 + -1.5q + 1.5q

Combine like terms: -1.5q + 1.5q = 0.0
5.5 + 1.5q = 8 + 0.0
5.5 + 1.5q = 8

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 1.5q = 8 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 1.5q = 8 + -5.5
1.5q = 8 + -5.5

Combine like terms: 8 + -5.5 = 2.5
1.5q = 2.5

Divide each side by '1.5'.
q = 1.666666667

Simplifying
q = 1.666666667

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