How to solve - 2 (1-7n) - 5n=34

-2 (1-7n) - 5n=34

distributive property

-2+14n-5n=34

combine like terms

-2+9n=34

+2 + 2

9n=36

:9 : 9

n=4

-2 (1-7n) - 5n=34

Multiply the bracket by - 2

(-2) (1) = -2

(-2) (-7n) = 14n

-2+14n-5n=34

-2+9n=34

Move - 2 to the other side. Sign changes from - 2 to + 2.

-2+2+9n=34+2

9n=34+2

9n=36

Divide by 9 for both sides

9n/9=36/9

n=4

Answer: n=4