t+6=74-t

Solution for t+6=74-t equation:

Simplifying
t + 6 = 74 + -1t

Reorder the terms:
6 + t = 74 + -1t

Solving
6 + t = 74 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
6 + t + t = 74 + -1t + t

Combine like terms: t + t = 2t
6 + 2t = 74 + -1t + t

Combine like terms: -1t + t = 0
6 + 2t = 74 + 0
6 + 2t = 74

Add '-6' to each side of the equation.
6 + -6 + 2t = 74 + -6

Combine like terms: 6 + -6 = 0
0 + 2t = 74 + -6
2t = 74 + -6

Combine like terms: 74 + -6 = 68
2t = 68

Divide each side by '2'.
t = 34

Simplifying
t = 34