-6(2t+1)=-78

Solution for -6(2t+1)=-78 equation:

Simplifying
-6(2t + 1) = -78

Reorder the terms:
-6(1 + 2t) = -78
(1 * -6 + 2t * -6) = -78
(-6 + -12t) = -78

Solving
-6 + -12t = -78

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + -12t = -78 + 6

Combine like terms: -6 + 6 = 0
0 + -12t = -78 + 6
-12t = -78 + 6

Combine like terms: -78 + 6 = -72
-12t = -72

Divide each side by '-12'.
t = 6

Simplifying
t = 6