t=2-2(2+-3(1+t))

Solution for t=2-2(2+-3(1+t)) equation:

Simplifying
t = 2 + -2(2 + -3(1 + t))
t = 2 + -2(2 + (1 * -3 + t * -3))
t = 2 + -2(2 + (-3 + -3t))

Combine like terms: 2 + -3 = -1
t = 2 + -2(-1 + -3t)
t = 2 + (-1 * -2 + -3t * -2)
t = 2 + (2 + 6t)

Combine like terms: 2 + 2 = 4
t = 4 + 6t

Solving
t = 4 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
t + -6t = 4 + 6t + -6t

Combine like terms: t + -6t = -5t
-5t = 4 + 6t + -6t

Combine like terms: 6t + -6t = 0
-5t = 4 + 0
-5t = 4

Divide each side by '-5'.
t = -0.8

Simplifying
t = -0.8