4.5q-1.6-5.7q=-0.2q-1.6

Solution for 4.5q-1.6-5.7q=-0.2q-1.6 equation:

Simplifying
4.5q + -1.6 + -5.7q = -0.2q + -1.6

Reorder the terms:
-1.6 + 4.5q + -5.7q = -0.2q + -1.6

Combine like terms: 4.5q + -5.7q = -1.2q
-1.6 + -1.2q = -0.2q + -1.6

Reorder the terms:
-1.6 + -1.2q = -1.6 + -0.2q

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -1.2q = -1.6 + 1.6 + -0.2q

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -1.2q = -1.6 + 1.6 + -0.2q
-1.2q = -1.6 + 1.6 + -0.2q

Combine like terms: -1.6 + 1.6 = 0.0
-1.2q = 0.0 + -0.2q
-1.2q = -0.2q

Solving
-1.2q = -0.2q

Solving for variable 'q'.

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

Add '0.2q' to each side of the equation.
-1.2q + 0.2q = -0.2q + 0.2q

Combine like terms: -1.2q + 0.2q = -1q
-1q = -0.2q + 0.2q

Combine like terms: -0.2q + 0.2q = 0.0
-1q = 0.0

Divide each side by '-1'.
q = 0.0

Simplifying
q = 0.0