5.5q-2.8-4.6q=-0.1q-5.8

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Solution for 5.5q-2.8-4.6q=-0.1q-5.8 equation: 


Simplifying
5.5q + -2.8 + -4.6q = -0.1q + -5.8

Reorder the terms:
-2.8 + 5.5q + -4.6q = -0.1q + -5.8

Combine like terms: 5.5q + -4.6q = 0.9q
-2.8 + 0.9q = -0.1q + -5.8

Reorder the terms:
-2.8 + 0.9q = -5.8 + -0.1q

Solving
-2.8 + 0.9q = -5.8 + -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.
-2.8 + 0.9q + 0.1q = -5.8 + -0.1q + 0.1q

Combine like terms: 0.9q + 0.1q = 1q
-2.8 + 1q = -5.8 + -0.1q + 0.1q

Combine like terms: -0.1q + 0.1q = 0.0
-2.8 + 1q = -5.8 + 0.0
-2.8 + 1q = -5.8

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 1q = -5.8 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 1q = -5.8 + 2.8
1q = -5.8 + 2.8

Combine like terms: -5.8 + 2.8 = -3
1q = -3

Divide each side by '1'.
q = -3

Simplifying
q = -3

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