5.4q-1.6-5.7q=-1.3q-1.4

Solution for 5.4q-1.6-5.7q=-1.3q-1.4 equation:

Simplifying
5.4q + -1.6 + -5.7q = -1.3q + -1.4

Reorder the terms:
-1.6 + 5.4q + -5.7q = -1.3q + -1.4

Combine like terms: 5.4q + -5.7q = -0.3q
-1.6 + -0.3q = -1.3q + -1.4

Reorder the terms:
-1.6 + -0.3q = -1.4 + -1.3q

Solving
-1.6 + -0.3q = -1.4 + -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 = -1.4 + -1.3q + 1.3q

Combine like terms: -0.3q + 1.3q = 1q
-1.6 + 1q = -1.4 + -1.3q + 1.3q

Combine like terms: -1.3q + 1.3q = 0.0
-1.6 + 1q = -1.4 + 0.0
-1.6 + 1q = -1.4

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1q = -1.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1q = -1.4 + 1.6
1q = -1.4 + 1.6

Combine like terms: -1.4 + 1.6 = 0.2
1q = 0.2

Divide each side by '1'.
q = 0.2

Simplifying
q = 0.2