-3(t+1)+2t=6+t

Solution for -3(t+1)+2t=6+t equation:

Simplifying
-3(t + 1) + 2t = 6 + t

Reorder the terms:
-3(1 + t) + 2t = 6 + t
(1 * -3 + t * -3) + 2t = 6 + t
(-3 + -3t) + 2t = 6 + t

Combine like terms: -3t + 2t = -1t
-3 + -1t = 6 + t

Solving
-3 + -1t = 6 + 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.
-3 + -1t + -1t = 6 + t + -1t

Combine like terms: -1t + -1t = -2t
-3 + -2t = 6 + t + -1t

Combine like terms: t + -1t = 0
-3 + -2t = 6 + 0
-3 + -2t = 6

Add '3' to each side of the equation.
-3 + 3 + -2t = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -2t = 6 + 3
-2t = 6 + 3

Combine like terms: 6 + 3 = 9
-2t = 9

Divide each side by '-2'.
t = -4.5

Simplifying
t = -4.5