8(3+t)-6(t+2)=

Solution for 8(3+t)-6(t+2)= equation:

Simplifying
8(3 + t) + -6(t + 2) = 0
(3 * 8 + t * 8) + -6(t + 2) = 0
(24 + 8t) + -6(t + 2) = 0

Reorder the terms:
24 + 8t + -6(2 + t) = 0
24 + 8t + (2 * -6 + t * -6) = 0
24 + 8t + (-12 + -6t) = 0

Reorder the terms:
24 + -12 + 8t + -6t = 0

Combine like terms: 24 + -12 = 12
12 + 8t + -6t = 0

Combine like terms: 8t + -6t = 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