3t+6(t-4)=-33

Solution for 3t+6(t-4)=-33 equation:

Simplifying
3t + 6(t + -4) = -33

Reorder the terms:
3t + 6(-4 + t) = -33
3t + (-4 * 6 + t * 6) = -33
3t + (-24 + 6t) = -33

Reorder the terms:
-24 + 3t + 6t = -33

Combine like terms: 3t + 6t = 9t
-24 + 9t = -33

Solving
-24 + 9t = -33

Solving for variable 't'.

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

Add '24' to each side of the equation.
-24 + 24 + 9t = -33 + 24

Combine like terms: -24 + 24 = 0
0 + 9t = -33 + 24
9t = -33 + 24

Combine like terms: -33 + 24 = -9
9t = -9

Divide each side by '9'.
t = -1

Simplifying
t = -1