1.3t+3(t+8.2)=37.5

Solution for 1.3t+3(t+8.2)=37.5 equation:

Simplifying
1.3t + 3(t + 8.2) = 37.5

Reorder the terms:
1.3t + 3(8.2 + t) = 37.5
1.3t + (8.2 * 3 + t * 3) = 37.5
1.3t + (24.6 + 3t) = 37.5

Reorder the terms:
24.6 + 1.3t + 3t = 37.5

Combine like terms: 1.3t + 3t = 4.3t
24.6 + 4.3t = 37.5

Solving
24.6 + 4.3t = 37.5

Solving for variable 't'.

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

Add '-24.6' to each side of the equation.
24.6 + -24.6 + 4.3t = 37.5 + -24.6

Combine like terms: 24.6 + -24.6 = 0.0
0.0 + 4.3t = 37.5 + -24.6
4.3t = 37.5 + -24.6

Combine like terms: 37.5 + -24.6 = 12.9
4.3t = 12.9

Divide each side by '4.3'.
t = 3

Simplifying
t = 3