U=4(8n+34)+9(n+1)

Solution for U=4(8n+34)+9(n+1) equation:

Simplifying
U = 4(8n + 34) + 9(n + 1)

Reorder the terms:
U = 4(34 + 8n) + 9(n + 1)
U = (34 * 4 + 8n * 4) + 9(n + 1)
U = (136 + 32n) + 9(n + 1)

Reorder the terms:
U = 136 + 32n + 9(1 + n)
U = 136 + 32n + (1 * 9 + n * 9)
U = 136 + 32n + (9 + 9n)

Reorder the terms:
U = 136 + 9 + 32n + 9n

Combine like terms: 136 + 9 = 145
U = 145 + 32n + 9n

Combine like terms: 32n + 9n = 41n
U = 145 + 41n

Solving
U = 145 + 41n

Solving for variable 'U'.

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

Simplifying
U = 145 + 41n