U=5(7n+30)+6(n+1)

Solution for U=5(7n+30)+6(n+1) equation:

Simplifying
U = 5(7n + 30) + 6(n + 1)

Reorder the terms:
U = 5(30 + 7n) + 6(n + 1)
U = (30 * 5 + 7n * 5) + 6(n + 1)
U = (150 + 35n) + 6(n + 1)

Reorder the terms:
U = 150 + 35n + 6(1 + n)
U = 150 + 35n + (1 * 6 + n * 6)
U = 150 + 35n + (6 + 6n)

Reorder the terms:
U = 150 + 6 + 35n + 6n

Combine like terms: 150 + 6 = 156
U = 156 + 35n + 6n

Combine like terms: 35n + 6n = 41n
U = 156 + 41n

Solving
U = 156 + 41n

Solving for variable 'U'.

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

Simplifying
U = 156 + 41n