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

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

Simplifying
6(4 + t) + -4(t + 3) = 0
(4 * 6 + t * 6) + -4(t + 3) = 0
(24 + 6t) + -4(t + 3) = 0

Reorder the terms:
24 + 6t + -4(3 + t) = 0
24 + 6t + (3 * -4 + t * -4) = 0
24 + 6t + (-12 + -4t) = 0

Reorder the terms:
24 + -12 + 6t + -4t = 0

Combine like terms: 24 + -12 = 12
12 + 6t + -4t = 0

Combine like terms: 6t + -4t = 2t
12 + 2t = 0

Solving
12 + 2t = 0

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + 2t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 2t = 0 + -12
2t = 0 + -12

Combine like terms: 0 + -12 = -12
2t = -12

Divide each side by '2'.
t = -6

Simplifying
t = -6