t=(t+10)+(t+20)

Solution for t=(t+10)+(t+20) equation:

Simplifying
t = (t + 10) + (t + 20)

Reorder the terms:
t = (10 + t) + (t + 20)

Remove parenthesis around (10 + t)
t = 10 + t + (t + 20)

Reorder the terms:
t = 10 + t + (20 + t)

Remove parenthesis around (20 + t)
t = 10 + t + 20 + t

Reorder the terms:
t = 10 + 20 + t + t

Combine like terms: 10 + 20 = 30
t = 30 + t + t

Combine like terms: t + t = 2t
t = 30 + 2t

Solving
t = 30 + 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.
t + -2t = 30 + 2t + -2t

Combine like terms: t + -2t = -1t
-1t = 30 + 2t + -2t

Combine like terms: 2t + -2t = 0
-1t = 30 + 0
-1t = 30

Divide each side by '-1'.
t = -30

Simplifying
t = -30