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

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

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

Reorder the terms:
12 + 6t + -2(1 + t) = 0
12 + 6t + (1 * -2 + t * -2) = 0
12 + 6t + (-2 + -2t) = 0

Reorder the terms:
12 + -2 + 6t + -2t = 0

Combine like terms: 12 + -2 = 10
10 + 6t + -2t = 0

Combine like terms: 6t + -2t = 4t
10 + 4t = 0

Solving
10 + 4t = 0

Solving for variable 't'.

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

Add '-10' to each side of the equation.
10 + -10 + 4t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 4t = 0 + -10
4t = 0 + -10

Combine like terms: 0 + -10 = -10
4t = -10

Divide each side by '4'.
t = -2.5

Simplifying
t = -2.5