-2(t-1)+6t=8t-6

Solution for -2(t-1)+6t=8t-6 equation:

Simplifying
-2(t + -1) + 6t = 8t + -6

Reorder the terms:
-2(-1 + t) + 6t = 8t + -6
(-1 * -2 + t * -2) + 6t = 8t + -6
(2 + -2t) + 6t = 8t + -6

Combine like terms: -2t + 6t = 4t
2 + 4t = 8t + -6

Reorder the terms:
2 + 4t = -6 + 8t

Solving
2 + 4t = -6 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
2 + 4t + -8t = -6 + 8t + -8t

Combine like terms: 4t + -8t = -4t
2 + -4t = -6 + 8t + -8t

Combine like terms: 8t + -8t = 0
2 + -4t = -6 + 0
2 + -4t = -6

Add '-2' to each side of the equation.
2 + -2 + -4t = -6 + -2

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

Combine like terms: -6 + -2 = -8
-4t = -8

Divide each side by '-4'.
t = 2

Simplifying
t = 2