34-2n=5n+3(1+8n)

Solution for 34-2n=5n+3(1+8n) equation:

Simplifying
34 + -2n = 5n + 3(1 + 8n)
34 + -2n = 5n + (1 * 3 + 8n * 3)
34 + -2n = 5n + (3 + 24n)

Reorder the terms:
34 + -2n = 3 + 5n + 24n

Combine like terms: 5n + 24n = 29n
34 + -2n = 3 + 29n

Solving
34 + -2n = 3 + 29n

Solving for variable 'n'.

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

Add '-29n' to each side of the equation.
34 + -2n + -29n = 3 + 29n + -29n

Combine like terms: -2n + -29n = -31n
34 + -31n = 3 + 29n + -29n

Combine like terms: 29n + -29n = 0
34 + -31n = 3 + 0
34 + -31n = 3

Add '-34' to each side of the equation.
34 + -34 + -31n = 3 + -34

Combine like terms: 34 + -34 = 0
0 + -31n = 3 + -34
-31n = 3 + -34

Combine like terms: 3 + -34 = -31
-31n = -31

Divide each side by '-31'.
n = 1

Simplifying
n = 1