-6(t-1)+2t=-7+t

Solution for -6(t-1)+2t=-7+t equation:

Simplifying
-6(t + -1) + 2t = -7 + t

Reorder the terms:
-6(-1 + t) + 2t = -7 + t
(-1 * -6 + t * -6) + 2t = -7 + t
(6 + -6t) + 2t = -7 + t

Combine like terms: -6t + 2t = -4t
6 + -4t = -7 + t

Solving
6 + -4t = -7 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
6 + -4t + -1t = -7 + t + -1t

Combine like terms: -4t + -1t = -5t
6 + -5t = -7 + t + -1t

Combine like terms: t + -1t = 0
6 + -5t = -7 + 0
6 + -5t = -7

Add '-6' to each side of the equation.
6 + -6 + -5t = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -5t = -7 + -6
-5t = -7 + -6

Combine like terms: -7 + -6 = -13
-5t = -13

Divide each side by '-5'.
t = 2.6

Simplifying
t = 2.6