4(t-9)=2t+42

Solution for 4(t-9)=2t+42 equation:

Simplifying
4(t + -9) = 2t + 42

Reorder the terms:
4(-9 + t) = 2t + 42
(-9 * 4 + t * 4) = 2t + 42
(-36 + 4t) = 2t + 42

Reorder the terms:
-36 + 4t = 42 + 2t

Solving
-36 + 4t = 42 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-36 + 4t + -2t = 42 + 2t + -2t

Combine like terms: 4t + -2t = 2t
-36 + 2t = 42 + 2t + -2t

Combine like terms: 2t + -2t = 0
-36 + 2t = 42 + 0
-36 + 2t = 42

Add '36' to each side of the equation.
-36 + 36 + 2t = 42 + 36

Combine like terms: -36 + 36 = 0
0 + 2t = 42 + 36
2t = 42 + 36

Combine like terms: 42 + 36 = 78
2t = 78

Divide each side by '2'.
t = 39

Simplifying
t = 39