U=3(9n+31)+4(n+1)

Solution for U=3(9n+31)+4(n+1) equation:

Simplifying
U = 3(9n + 31) + 4(n + 1)

Reorder the terms:
U = 3(31 + 9n) + 4(n + 1)
U = (31 * 3 + 9n * 3) + 4(n + 1)
U = (93 + 27n) + 4(n + 1)

Reorder the terms:
U = 93 + 27n + 4(1 + n)
U = 93 + 27n + (1 * 4 + n * 4)
U = 93 + 27n + (4 + 4n)

Reorder the terms:
U = 93 + 4 + 27n + 4n

Combine like terms: 93 + 4 = 97
U = 97 + 27n + 4n

Combine like terms: 27n + 4n = 31n
U = 97 + 31n

Solving
U = 97 + 31n

Solving for variable 'U'.

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

Simplifying
U = 97 + 31n