3.9q-3.3-4.2q=-1.3q-4.6

Solution for 3.9q-3.3-4.2q=-1.3q-4.6 equation:

Simplifying
3.9q + -3.3 + -4.2q = -1.3q + -4.6

Reorder the terms:
-3.3 + 3.9q + -4.2q = -1.3q + -4.6

Combine like terms: 3.9q + -4.2q = -0.3q
-3.3 + -0.3q = -1.3q + -4.6

Reorder the terms:
-3.3 + -0.3q = -4.6 + -1.3q

Solving
-3.3 + -0.3q = -4.6 + -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.
-3.3 + -0.3q + 1.3q = -4.6 + -1.3q + 1.3q

Combine like terms: -0.3q + 1.3q = 1q
-3.3 + 1q = -4.6 + -1.3q + 1.3q

Combine like terms: -1.3q + 1.3q = 0.0
-3.3 + 1q = -4.6 + 0.0
-3.3 + 1q = -4.6

Add '3.3' to each side of the equation.
-3.3 + 3.3 + 1q = -4.6 + 3.3

Combine like terms: -3.3 + 3.3 = 0.0
0.0 + 1q = -4.6 + 3.3
1q = -4.6 + 3.3

Combine like terms: -4.6 + 3.3 = -1.3
1q = -1.3

Divide each side by '1'.
q = -1.3

Simplifying
q = -1.3