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

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

Simplifying
6(3 + t) + -3(t + 2) = 0
(3 * 6 + t * 6) + -3(t + 2) = 0
(18 + 6t) + -3(t + 2) = 0

Reorder the terms:
18 + 6t + -3(2 + t) = 0
18 + 6t + (2 * -3 + t * -3) = 0
18 + 6t + (-6 + -3t) = 0

Reorder the terms:
18 + -6 + 6t + -3t = 0

Combine like terms: 18 + -6 = 12
12 + 6t + -3t = 0

Combine like terms: 6t + -3t = 3t
12 + 3t = 0

Solving
12 + 3t = 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 + 3t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3t = 0 + -12
3t = 0 + -12

Combine like terms: 0 + -12 = -12
3t = -12

Divide each side by '3'.
t = -4

Simplifying
t = -4