5.8q-1.6-5.7q=-0.9-4.6

Solution for 5.8q-1.6-5.7q=-0.9-4.6 equation:

Simplifying
5.8q + -1.6 + -5.7q = -0.9 + -4.6

Reorder the terms:
-1.6 + 5.8q + -5.7q = -0.9 + -4.6

Combine like terms: 5.8q + -5.7q = 0.1q
-1.6 + 0.1q = -0.9 + -4.6

Combine like terms: -0.9 + -4.6 = -5.5
-1.6 + 0.1q = -5.5

Solving
-1.6 + 0.1q = -5.5

Solving for variable 'q'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.1q = -5.5 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.1q = -5.5 + 1.6
0.1q = -5.5 + 1.6

Combine like terms: -5.5 + 1.6 = -3.9
0.1q = -3.9

Divide each side by '0.1'.
q = -39

Simplifying
q = -39