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

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

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

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

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

Solving
24.6 + 3t = 37.5 + -1.3t

Solving for variable 't'.

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

Add '1.3t' to each side of the equation.
24.6 + 3t + 1.3t = 37.5 + -1.3t + 1.3t

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

Combine like terms: -1.3t + 1.3t = 0.0
24.6 + 4.3t = 37.5 + 0.0
24.6 + 4.3t = 37.5

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