5.5q-1.6-5.8q=-1.3q-4.1

Solution for 5.5q-1.6-5.8q=-1.3q-4.1 equation:

Simplifying
5.5q + -1.6 + -5.8q = -1.3q + -4.1

Reorder the terms:
-1.6 + 5.5q + -5.8q = -1.3q + -4.1

Combine like terms: 5.5q + -5.8q = -0.3q
-1.6 + -0.3q = -1.3q + -4.1

Reorder the terms:
-1.6 + -0.3q = -4.1 + -1.3q

Solving
-1.6 + -0.3q = -4.1 + -1.3q

Solving for variable 'q'.

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

Add '1.3q' to each side of the equation.
-1.6 + -0.3q + 1.3q = -4.1 + -1.3q + 1.3q

Combine like terms: -0.3q + 1.3q = 1q
-1.6 + 1q = -4.1 + -1.3q + 1.3q

Combine like terms: -1.3q + 1.3q = 0.0
-1.6 + 1q = -4.1 + 0.0
-1.6 + 1q = -4.1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1q = -4.1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1q = -4.1 + 1.6
1q = -4.1 + 1.6

Combine like terms: -4.1 + 1.6 = -2.5
1q = -2.5

Divide each side by '1'.
q = -2.5

Simplifying
q = -2.5