4.2(t-8.1)-3.1=2t+1.6

Solution for 4.2(t-8.1)-3.1=2t+1.6 equation:

Simplifying
4.2(t + -8.1) + -3.1 = 2t + 1.6

Reorder the terms:
4.2(-8.1 + t) + -3.1 = 2t + 1.6
(-8.1 * 4.2 + t * 4.2) + -3.1 = 2t + 1.6
(-34.02 + 4.2t) + -3.1 = 2t + 1.6

Reorder the terms:
-34.02 + -3.1 + 4.2t = 2t + 1.6

Combine like terms: -34.02 + -3.1 = -37.12
-37.12 + 4.2t = 2t + 1.6

Reorder the terms:
-37.12 + 4.2t = 1.6 + 2t

Solving
-37.12 + 4.2t = 1.6 + 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.
-37.12 + 4.2t + -2t = 1.6 + 2t + -2t

Combine like terms: 4.2t + -2t = 2.2t
-37.12 + 2.2t = 1.6 + 2t + -2t

Combine like terms: 2t + -2t = 0
-37.12 + 2.2t = 1.6 + 0
-37.12 + 2.2t = 1.6

Add '37.12' to each side of the equation.
-37.12 + 37.12 + 2.2t = 1.6 + 37.12

Combine like terms: -37.12 + 37.12 = 0.00
0.00 + 2.2t = 1.6 + 37.12
2.2t = 1.6 + 37.12

Combine like terms: 1.6 + 37.12 = 38.72
2.2t = 38.72

Divide each side by '2.2'.
t = 17.6

Simplifying
t = 17.6