t+6=42-8t

Solution for t+6=42-8t equation:

Simplifying
t + 6 = 42 + -8t

Reorder the terms:
6 + t = 42 + -8t

Solving
6 + t = 42 + -8t

Solving for variable 't'.

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

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

Combine like terms: t + 8t = 9t
6 + 9t = 42 + -8t + 8t

Combine like terms: -8t + 8t = 0
6 + 9t = 42 + 0
6 + 9t = 42

Add '-6' to each side of the equation.
6 + -6 + 9t = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9t = 42 + -6
9t = 42 + -6

Combine like terms: 42 + -6 = 36
9t = 36

Divide each side by '9'.
t = 4

Simplifying
t = 4