u=5(3n+33)+8(n+1)

Solution for u=5(3n+33)+8(n+1) equation:

Simplifying
u = 5(3n + 33) + 8(n + 1)

Reorder the terms:
u = 5(33 + 3n) + 8(n + 1)
u = (33 * 5 + 3n * 5) + 8(n + 1)
u = (165 + 15n) + 8(n + 1)

Reorder the terms:
u = 165 + 15n + 8(1 + n)
u = 165 + 15n + (1 * 8 + n * 8)
u = 165 + 15n + (8 + 8n)

Reorder the terms:
u = 165 + 8 + 15n + 8n

Combine like terms: 165 + 8 = 173
u = 173 + 15n + 8n

Combine like terms: 15n + 8n = 23n
u = 173 + 23n

Solving
u = 173 + 23n

Solving for variable 'u'.

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

Simplifying
u = 173 + 23n