-6+3(t+4)=12

Solution for -6+3(t+4)=12 equation:

Simplifying
-6 + 3(t + 4) = 12

Reorder the terms:
-6 + 3(4 + t) = 12
-6 + (4 * 3 + t * 3) = 12
-6 + (12 + 3t) = 12

Combine like terms: -6 + 12 = 6
6 + 3t = 12

Solving
6 + 3t = 12

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 + 3t = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 3t = 12 + -6
3t = 12 + -6

Combine like terms: 12 + -6 = 6
3t = 6

Divide each side by '3'.
t = 2

Simplifying
t = 2