5.7q-1.6-4.8q=-0.1q-2.6

Solution for 5.7q-1.6-4.8q=-0.1q-2.6 equation:

Simplifying
5.7q + -1.6 + -4.8q = -0.1q + -2.6

Reorder the terms:
-1.6 + 5.7q + -4.8q = -0.1q + -2.6

Combine like terms: 5.7q + -4.8q = 0.9q
-1.6 + 0.9q = -0.1q + -2.6

Reorder the terms:
-1.6 + 0.9q = -2.6 + -0.1q

Solving
-1.6 + 0.9q = -2.6 + -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.
-1.6 + 0.9q + 0.1q = -2.6 + -0.1q + 0.1q

Combine like terms: 0.9q + 0.1q = 1q
-1.6 + 1q = -2.6 + -0.1q + 0.1q

Combine like terms: -0.1q + 0.1q = 0.0
-1.6 + 1q = -2.6 + 0.0
-1.6 + 1q = -2.6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1q = -2.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1q = -2.6 + 1.6
1q = -2.6 + 1.6

Combine like terms: -2.6 + 1.6 = -1
1q = -1

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

Simplifying
q = -1