5.5q-5.5-4.6q=0.1q-4.9

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Solution for 5.5q-5.5-4.6q=0.1q-4.9 equation: 


Simplifying
5.5q + -5.5 + -4.6q = 0.1q + -4.9

Reorder the terms:
-5.5 + 5.5q + -4.6q = 0.1q + -4.9

Combine like terms: 5.5q + -4.6q = 0.9q
-5.5 + 0.9q = 0.1q + -4.9

Reorder the terms:
-5.5 + 0.9q = -4.9 + 0.1q

Solving
-5.5 + 0.9q = -4.9 + 0.1q

Solving for variable 'q'.

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

Add '-0.1q' to each side of the equation.
-5.5 + 0.9q + -0.1q = -4.9 + 0.1q + -0.1q

Combine like terms: 0.9q + -0.1q = 0.8q
-5.5 + 0.8q = -4.9 + 0.1q + -0.1q

Combine like terms: 0.1q + -0.1q = 0.0
-5.5 + 0.8q = -4.9 + 0.0
-5.5 + 0.8q = -4.9

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 0.8q = -4.9 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 0.8q = -4.9 + 5.5
0.8q = -4.9 + 5.5

Combine like terms: -4.9 + 5.5 = 0.6
0.8q = 0.6

Divide each side by '0.8'.
q = 0.75

Simplifying
q = 0.75

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