6(2+t)-3(t+1)=

Solution for 6(2+t)-3(t+1)= equation:

Simplifying
6(2 + t) + -3(t + 1) = 0
(2 * 6 + t * 6) + -3(t + 1) = 0
(12 + 6t) + -3(t + 1) = 0

Reorder the terms:
12 + 6t + -3(1 + t) = 0
12 + 6t + (1 * -3 + t * -3) = 0
12 + 6t + (-3 + -3t) = 0

Reorder the terms:
12 + -3 + 6t + -3t = 0

Combine like terms: 12 + -3 = 9
9 + 6t + -3t = 0

Combine like terms: 6t + -3t = 3t
9 + 3t = 0

Solving
9 + 3t = 0

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + 3t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3t = 0 + -9
3t = 0 + -9

Combine like terms: 0 + -9 = -9
3t = -9

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

Simplifying
t = -3