6(4+t)-4(t+2)=

Solution for 6(4+t)-4(t+2)= equation:

Simplifying
6(4 + t) + -4(t + 2) = 0
(4 * 6 + t * 6) + -4(t + 2) = 0
(24 + 6t) + -4(t + 2) = 0

Reorder the terms:
24 + 6t + -4(2 + t) = 0
24 + 6t + (2 * -4 + t * -4) = 0
24 + 6t + (-8 + -4t) = 0

Reorder the terms:
24 + -8 + 6t + -4t = 0

Combine like terms: 24 + -8 = 16
16 + 6t + -4t = 0

Combine like terms: 6t + -4t = 2t
16 + 2t = 0

Solving
16 + 2t = 0

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + 2t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 2t = 0 + -16
2t = 0 + -16

Combine like terms: 0 + -16 = -16
2t = -16

Divide each side by '2'.
t = -8

Simplifying
t = -8