U=5(9n+31)+6(n+1)

Solution for U=5(9n+31)+6(n+1) equation:

Simplifying
U = 5(9n + 31) + 6(n + 1)

Reorder the terms:
U = 5(31 + 9n) + 6(n + 1)
U = (31 * 5 + 9n * 5) + 6(n + 1)
U = (155 + 45n) + 6(n + 1)

Reorder the terms:
U = 155 + 45n + 6(1 + n)
U = 155 + 45n + (1 * 6 + n * 6)
U = 155 + 45n + (6 + 6n)

Reorder the terms:
U = 155 + 6 + 45n + 6n

Combine like terms: 155 + 6 = 161
U = 161 + 45n + 6n

Combine like terms: 45n + 6n = 51n
U = 161 + 51n

Solving
U = 161 + 51n

Solving for variable 'U'.

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

Simplifying
U = 161 + 51n