1.2q-7.8q+1.2=-51.6

Solution for 1.2q-7.8q+1.2=-51.6 equation:

Simplifying
1.2q + -7.8q + 1.2 = -51.6

Reorder the terms:
1.2 + 1.2q + -7.8q = -51.6

Combine like terms: 1.2q + -7.8q = -6.6q
1.2 + -6.6q = -51.6

Solving
1.2 + -6.6q = -51.6

Solving for variable 'q'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -6.6q = -51.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -6.6q = -51.6 + -1.2
-6.6q = -51.6 + -1.2

Combine like terms: -51.6 + -1.2 = -52.8
-6.6q = -52.8

Divide each side by '-6.6'.
q = 8

Simplifying
q = 8