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

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

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

Reorder the terms:
18 + 6t + -2(2 + t) = 0
18 + 6t + (2 * -2 + t * -2) = 0
18 + 6t + (-4 + -2t) = 0

Reorder the terms:
18 + -4 + 6t + -2t = 0

Combine like terms: 18 + -4 = 14
14 + 6t + -2t = 0

Combine like terms: 6t + -2t = 4t
14 + 4t = 0

Solving
14 + 4t = 0

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + 4t = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 4t = 0 + -14
4t = 0 + -14

Combine like terms: 0 + -14 = -14
4t = -14

Divide each side by '4'.
t = -3.5

Simplifying
t = -3.5