1.3t+3(t+8.3)=37.5

Solution for 1.3t+3(t+8.3)=37.5 equation:

Simplifying
1.3t + 3(t + 8.3) = 37.5

Reorder the terms:
1.3t + 3(8.3 + t) = 37.5
1.3t + (8.3 * 3 + t * 3) = 37.5
1.3t + (24.9 + 3t) = 37.5

Reorder the terms:
24.9 + 1.3t + 3t = 37.5

Combine like terms: 1.3t + 3t = 4.3t
24.9 + 4.3t = 37.5

Solving
24.9 + 4.3t = 37.5

Solving for variable 't'.

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

Add '-24.9' to each side of the equation.
24.9 + -24.9 + 4.3t = 37.5 + -24.9

Combine like terms: 24.9 + -24.9 = 0.0
0.0 + 4.3t = 37.5 + -24.9
4.3t = 37.5 + -24.9

Combine like terms: 37.5 + -24.9 = 12.6
4.3t = 12.6

Divide each side by '4.3'.
t = 2.930232558

Simplifying
t = 2.930232558