U=5(8n+31)+9(n+1)

Solution for U=5(8n+31)+9(n+1) equation:

Simplifying
U = 5(8n + 31) + 9(n + 1)

Reorder the terms:
U = 5(31 + 8n) + 9(n + 1)
U = (31 * 5 + 8n * 5) + 9(n + 1)
U = (155 + 40n) + 9(n + 1)

Reorder the terms:
U = 155 + 40n + 9(1 + n)
U = 155 + 40n + (1 * 9 + n * 9)
U = 155 + 40n + (9 + 9n)

Reorder the terms:
U = 155 + 9 + 40n + 9n

Combine like terms: 155 + 9 = 164
U = 164 + 40n + 9n

Combine like terms: 40n + 9n = 49n
U = 164 + 49n

Solving
U = 164 + 49n

Solving for variable 'U'.

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

Simplifying
U = 164 + 49n