2(-3.8q-19.65)=19.78+13.5q

Solution for 2(-3.8q-19.65)=19.78+13.5q equation:

Simplifying
2(-3.8q + -19.65) = 19.78 + 13.5q

Reorder the terms:
2(-19.65 + -3.8q) = 19.78 + 13.5q
(-19.65 * 2 + -3.8q * 2) = 19.78 + 13.5q
(-39.3 + -7.6q) = 19.78 + 13.5q

Solving
-39.3 + -7.6q = 19.78 + 13.5q

Solving for variable 'q'.

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

Add '-13.5q' to each side of the equation.
-39.3 + -7.6q + -13.5q = 19.78 + 13.5q + -13.5q

Combine like terms: -7.6q + -13.5q = -21.1q
-39.3 + -21.1q = 19.78 + 13.5q + -13.5q

Combine like terms: 13.5q + -13.5q = 0.0
-39.3 + -21.1q = 19.78 + 0.0
-39.3 + -21.1q = 19.78

Add '39.3' to each side of the equation.
-39.3 + 39.3 + -21.1q = 19.78 + 39.3

Combine like terms: -39.3 + 39.3 = 0.0
0.0 + -21.1q = 19.78 + 39.3
-21.1q = 19.78 + 39.3

Combine like terms: 19.78 + 39.3 = 59.08
-21.1q = 59.08

Divide each side by '-21.1'.
q = -2.8

Simplifying
q = -2.8