u=3(8n+34)+7(n+1)

Solution for u=3(8n+34)+7(n+1) equation:

Simplifying
u = 3(8n + 34) + 7(n + 1)

Reorder the terms:
u = 3(34 + 8n) + 7(n + 1)
u = (34 * 3 + 8n * 3) + 7(n + 1)
u = (102 + 24n) + 7(n + 1)

Reorder the terms:
u = 102 + 24n + 7(1 + n)
u = 102 + 24n + (1 * 7 + n * 7)
u = 102 + 24n + (7 + 7n)

Reorder the terms:
u = 102 + 7 + 24n + 7n

Combine like terms: 102 + 7 = 109
u = 109 + 24n + 7n

Combine like terms: 24n + 7n = 31n
u = 109 + 31n

Solving
u = 109 + 31n

Solving for variable 'u'.

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

Simplifying
u = 109 + 31n