2(6t+1)-4(t-1)=0

Solution for 2(6t+1)-4(t-1)=0 equation:

Simplifying
2(6t + 1) + -4(t + -1) = 0

Reorder the terms:
2(1 + 6t) + -4(t + -1) = 0
(1 * 2 + 6t * 2) + -4(t + -1) = 0
(2 + 12t) + -4(t + -1) = 0

Reorder the terms:
2 + 12t + -4(-1 + t) = 0
2 + 12t + (-1 * -4 + t * -4) = 0
2 + 12t + (4 + -4t) = 0

Reorder the terms:
2 + 4 + 12t + -4t = 0

Combine like terms: 2 + 4 = 6
6 + 12t + -4t = 0

Combine like terms: 12t + -4t = 8t
6 + 8t = 0

Solving
6 + 8t = 0

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 8t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8t = 0 + -6
8t = 0 + -6

Combine like terms: 0 + -6 = -6
8t = -6

Divide each side by '8'.
t = -0.75

Simplifying
t = -0.75