-2[3+2(2t+3)]-3t=

Solution for -2[3+2(2t+3)]-3t= equation:

Simplifying
-2[3 + 2(2t + 3)] + -3t = 0

Reorder the terms:
-2[3 + 2(3 + 2t)] + -3t = 0
-2[3 + (3 * 2 + 2t * 2)] + -3t = 0
-2[3 + (6 + 4t)] + -3t = 0

Combine like terms: 3 + 6 = 9
-2[9 + 4t] + -3t = 0
[9 * -2 + 4t * -2] + -3t = 0
[-18 + -8t] + -3t = 0

Combine like terms: -8t + -3t = -11t
-18 + -11t = 0

Solving
-18 + -11t = 0

Solving for variable 't'.

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

Add '18' to each side of the equation.
-18 + 18 + -11t = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -11t = 0 + 18
-11t = 0 + 18

Combine like terms: 0 + 18 = 18
-11t = 18

Divide each side by '-11'.
t = -1.636363636

Simplifying
t = -1.636363636