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

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

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

Reorder the terms:
6 + -2 + -6t + 4t = 1

Combine like terms: 6 + -2 = 4
4 + -6t + 4t = 1

Combine like terms: -6t + 4t = -2t
4 + -2t = 1

Solving
4 + -2t = 1

Solving for variable 't'.

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

Add '-4' to each side of the equation.
4 + -4 + -2t = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -2t = 1 + -4
-2t = 1 + -4

Combine like terms: 1 + -4 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5