U=3(8n+31)+7(n+1)

Solution for U=3(8n+31)+7(n+1) equation:

Simplifying
U = 3(8n + 31) + 7(n + 1)

Reorder the terms:
U = 3(31 + 8n) + 7(n + 1)
U = (31 * 3 + 8n * 3) + 7(n + 1)
U = (93 + 24n) + 7(n + 1)

Reorder the terms:
U = 93 + 24n + 7(1 + n)
U = 93 + 24n + (1 * 7 + n * 7)
U = 93 + 24n + (7 + 7n)

Reorder the terms:
U = 93 + 7 + 24n + 7n

Combine like terms: 93 + 7 = 100
U = 100 + 24n + 7n

Combine like terms: 24n + 7n = 31n
U = 100 + 31n

Solving
U = 100 + 31n

Solving for variable 'U'.

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

Simplifying
U = 100 + 31n