4.5q-1.6-5.6=-0.1q-1.6

Solution for 4.5q-1.6-5.6=-0.1q-1.6 equation:

Simplifying
4.5q + -1.6 + -5.6 = -0.1q + -1.6

Reorder the terms:
-1.6 + -5.6 + 4.5q = -0.1q + -1.6

Combine like terms: -1.6 + -5.6 = -7.2
-7.2 + 4.5q = -0.1q + -1.6

Reorder the terms:
-7.2 + 4.5q = -1.6 + -0.1q

Solving
-7.2 + 4.5q = -1.6 + -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.
-7.2 + 4.5q + 0.1q = -1.6 + -0.1q + 0.1q

Combine like terms: 4.5q + 0.1q = 4.6q
-7.2 + 4.6q = -1.6 + -0.1q + 0.1q

Combine like terms: -0.1q + 0.1q = 0.0
-7.2 + 4.6q = -1.6 + 0.0
-7.2 + 4.6q = -1.6

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 4.6q = -1.6 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 4.6q = -1.6 + 7.2
4.6q = -1.6 + 7.2

Combine like terms: -1.6 + 7.2 = 5.6
4.6q = 5.6

Divide each side by '4.6'.
q = 1.217391304

Simplifying
q = 1.217391304