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

Solution for 3(t-7)+2t=6+t equation:

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

Reorder the terms:
3(-7 + t) + 2t = 6 + t
(-7 * 3 + t * 3) + 2t = 6 + t
(-21 + 3t) + 2t = 6 + t

Combine like terms: 3t + 2t = 5t
-21 + 5t = 6 + t

Solving
-21 + 5t = 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.
-21 + 5t + -1t = 6 + t + -1t

Combine like terms: 5t + -1t = 4t
-21 + 4t = 6 + t + -1t

Combine like terms: t + -1t = 0
-21 + 4t = 6 + 0
-21 + 4t = 6

Add '21' to each side of the equation.
-21 + 21 + 4t = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 4t = 6 + 21
4t = 6 + 21

Combine like terms: 6 + 21 = 27
4t = 27

Divide each side by '4'.
t = 6.75

Simplifying
t = 6.75