-6(2t+7)=-78

Solution for -6(2t+7)=-78 equation:

Simplifying
-6(2t + 7) = -78

Reorder the terms:
-6(7 + 2t) = -78
(7 * -6 + 2t * -6) = -78
(-42 + -12t) = -78

Solving
-42 + -12t = -78

Solving for variable 't'.

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

Add '42' to each side of the equation.
-42 + 42 + -12t = -78 + 42

Combine like terms: -42 + 42 = 0
0 + -12t = -78 + 42
-12t = -78 + 42

Combine like terms: -78 + 42 = -36
-12t = -36

Divide each side by '-12'.
t = 3

Simplifying
t = 3