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

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

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

Reorder the terms:
7(-6 + t) + 2t = 1 + t
(-6 * 7 + t * 7) + 2t = 1 + t
(-42 + 7t) + 2t = 1 + t

Combine like terms: 7t + 2t = 9t
-42 + 9t = 1 + t

Solving
-42 + 9t = 1 + 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.
-42 + 9t + -1t = 1 + t + -1t

Combine like terms: 9t + -1t = 8t
-42 + 8t = 1 + t + -1t

Combine like terms: t + -1t = 0
-42 + 8t = 1 + 0
-42 + 8t = 1

Add '42' to each side of the equation.
-42 + 42 + 8t = 1 + 42

Combine like terms: -42 + 42 = 0
0 + 8t = 1 + 42
8t = 1 + 42

Combine like terms: 1 + 42 = 43
8t = 43

Divide each side by '8'.
t = 5.375

Simplifying
t = 5.375