6(3+t)-4(t+2)=

Solution for 6(3+t)-4(t+2)= equation:

Simplifying
6(3 + t) + -4(t + 2) = 0
(3 * 6 + t * 6) + -4(t + 2) = 0
(18 + 6t) + -4(t + 2) = 0

Reorder the terms:
18 + 6t + -4(2 + t) = 0
18 + 6t + (2 * -4 + t * -4) = 0
18 + 6t + (-8 + -4t) = 0

Reorder the terms:
18 + -8 + 6t + -4t = 0

Combine like terms: 18 + -8 = 10
10 + 6t + -4t = 0

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

Solving
10 + 2t = 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 + 2t = 0 + -10

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

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

Divide each side by '2'.
t = -5

Simplifying
t = -5