7t-33+t+27=4t+16

Solution for 7t-33+t+27=4t+16 equation:

Simplifying
7t + -33 + t + 27 = 4t + 16

Reorder the terms:
-33 + 27 + 7t + t = 4t + 16

Combine like terms: -33 + 27 = -6
-6 + 7t + t = 4t + 16

Combine like terms: 7t + t = 8t
-6 + 8t = 4t + 16

Reorder the terms:
-6 + 8t = 16 + 4t

Solving
-6 + 8t = 16 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-6 + 8t + -4t = 16 + 4t + -4t

Combine like terms: 8t + -4t = 4t
-6 + 4t = 16 + 4t + -4t

Combine like terms: 4t + -4t = 0
-6 + 4t = 16 + 0
-6 + 4t = 16

Add '6' to each side of the equation.
-6 + 6 + 4t = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 4t = 16 + 6
4t = 16 + 6

Combine like terms: 16 + 6 = 22
4t = 22

Divide each side by '4'.
t = 5.5

Simplifying
t = 5.5