-4(-2t-4)=-2[2t+3(t+2)]

Solution for -4(-2t-4)=-2[2t+3(t+2)] equation:

Simplifying
-4(-2t + -4) = -2[2t + 3(t + 2)]

Reorder the terms:
-4(-4 + -2t) = -2[2t + 3(t + 2)]
(-4 * -4 + -2t * -4) = -2[2t + 3(t + 2)]
(16 + 8t) = -2[2t + 3(t + 2)]

Reorder the terms:
16 + 8t = -2[2t + 3(2 + t)]
16 + 8t = -2[2t + (2 * 3 + t * 3)]
16 + 8t = -2[2t + (6 + 3t)]

Reorder the terms:
16 + 8t = -2[6 + 2t + 3t]

Combine like terms: 2t + 3t = 5t
16 + 8t = -2[6 + 5t]
16 + 8t = [6 * -2 + 5t * -2]
16 + 8t = [-12 + -10t]

Solving
16 + 8t = -12 + -10t

Solving for variable 't'.

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

Add '10t' to each side of the equation.
16 + 8t + 10t = -12 + -10t + 10t

Combine like terms: 8t + 10t = 18t
16 + 18t = -12 + -10t + 10t

Combine like terms: -10t + 10t = 0
16 + 18t = -12 + 0
16 + 18t = -12

Add '-16' to each side of the equation.
16 + -16 + 18t = -12 + -16

Combine like terms: 16 + -16 = 0
0 + 18t = -12 + -16
18t = -12 + -16

Combine like terms: -12 + -16 = -28
18t = -28

Divide each side by '18'.
t = -1.555555556

Simplifying
t = -1.555555556