U=5(3n+35)+6(n+1)

Solution for U=5(3n+35)+6(n+1) equation:

Simplifying
U = 5(3n + 35) + 6(n + 1)

Reorder the terms:
U = 5(35 + 3n) + 6(n + 1)
U = (35 * 5 + 3n * 5) + 6(n + 1)
U = (175 + 15n) + 6(n + 1)

Reorder the terms:
U = 175 + 15n + 6(1 + n)
U = 175 + 15n + (1 * 6 + n * 6)
U = 175 + 15n + (6 + 6n)

Reorder the terms:
U = 175 + 6 + 15n + 6n

Combine like terms: 175 + 6 = 181
U = 181 + 15n + 6n

Combine like terms: 15n + 6n = 21n
U = 181 + 21n

Solving
U = 181 + 21n

Solving for variable 'U'.

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

Simplifying
U = 181 + 21n