U=5(6n+30)+8(n+1)

Solution for U=5(6n+30)+8(n+1) equation:

Simplifying
U = 5(6n + 30) + 8(n + 1)

Reorder the terms:
U = 5(30 + 6n) + 8(n + 1)
U = (30 * 5 + 6n * 5) + 8(n + 1)
U = (150 + 30n) + 8(n + 1)

Reorder the terms:
U = 150 + 30n + 8(1 + n)
U = 150 + 30n + (1 * 8 + n * 8)
U = 150 + 30n + (8 + 8n)

Reorder the terms:
U = 150 + 8 + 30n + 8n

Combine like terms: 150 + 8 = 158
U = 158 + 30n + 8n

Combine like terms: 30n + 8n = 38n
U = 158 + 38n

Solving
U = 158 + 38n

Solving for variable 'U'.

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

Simplifying
U = 158 + 38n