-9-3(2q-1)=78

Solution for -9-3(2q-1)=78 equation:

Simplifying
-9 + -3(2q + -1) = 78

Reorder the terms:
-9 + -3(-1 + 2q) = 78
-9 + (-1 * -3 + 2q * -3) = 78
-9 + (3 + -6q) = 78

Combine like terms: -9 + 3 = -6
-6 + -6q = 78

Solving
-6 + -6q = 78

Solving for variable 'q'.

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

Add '6' to each side of the equation.
-6 + 6 + -6q = 78 + 6

Combine like terms: -6 + 6 = 0
0 + -6q = 78 + 6
-6q = 78 + 6

Combine like terms: 78 + 6 = 84
-6q = 84

Divide each side by '-6'.
q = -14

Simplifying
q = -14