t+(t+60)+(t+20)+(t+40)+(t+20)=540

Solution for t+(t+60)+(t+20)+(t+40)+(t+20)=540 equation:

Simplifying
t + (t + 60) + (t + 20) + (t + 40) + (t + 20) = 540

Reorder the terms:
t + (60 + t) + (t + 20) + (t + 40) + (t + 20) = 540

Remove parenthesis around (60 + t)
t + 60 + t + (t + 20) + (t + 40) + (t + 20) = 540

Reorder the terms:
t + 60 + t + (20 + t) + (t + 40) + (t + 20) = 540

Remove parenthesis around (20 + t)
t + 60 + t + 20 + t + (t + 40) + (t + 20) = 540

Reorder the terms:
t + 60 + t + 20 + t + (40 + t) + (t + 20) = 540

Remove parenthesis around (40 + t)
t + 60 + t + 20 + t + 40 + t + (t + 20) = 540

Reorder the terms:
t + 60 + t + 20 + t + 40 + t + (20 + t) = 540

Remove parenthesis around (20 + t)
t + 60 + t + 20 + t + 40 + t + 20 + t = 540

Reorder the terms:
60 + 20 + 40 + 20 + t + t + t + t + t = 540

Combine like terms: 60 + 20 = 80
80 + 40 + 20 + t + t + t + t + t = 540

Combine like terms: 80 + 40 = 120
120 + 20 + t + t + t + t + t = 540

Combine like terms: 120 + 20 = 140
140 + t + t + t + t + t = 540

Combine like terms: t + t = 2t
140 + 2t + t + t + t = 540

Combine like terms: 2t + t = 3t
140 + 3t + t + t = 540

Combine like terms: 3t + t = 4t
140 + 4t + t = 540

Combine like terms: 4t + t = 5t
140 + 5t = 540

Solving
140 + 5t = 540

Solving for variable 't'.

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

Add '-140' to each side of the equation.
140 + -140 + 5t = 540 + -140

Combine like terms: 140 + -140 = 0
0 + 5t = 540 + -140
5t = 540 + -140

Combine like terms: 540 + -140 = 400
5t = 400

Divide each side by '5'.
t = 80

Simplifying
t = 80