34-2n=6(-5n+1)

Solution for 34-2n=6(-5n+1) equation:

Simplifying
34 + -2n = 6(-5n + 1)

Reorder the terms:
34 + -2n = 6(1 + -5n)
34 + -2n = (1 * 6 + -5n * 6)
34 + -2n = (6 + -30n)

Solving
34 + -2n = 6 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
34 + -2n + 30n = 6 + -30n + 30n

Combine like terms: -2n + 30n = 28n
34 + 28n = 6 + -30n + 30n

Combine like terms: -30n + 30n = 0
34 + 28n = 6 + 0
34 + 28n = 6

Add '-34' to each side of the equation.
34 + -34 + 28n = 6 + -34

Combine like terms: 34 + -34 = 0
0 + 28n = 6 + -34
28n = 6 + -34

Combine like terms: 6 + -34 = -28
28n = -28

Divide each side by '28'.
n = -1

Simplifying
n = -1