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

Solution for 5n+2(1-7n)=-34 equation:

Simplifying
5n + 2(1 + -7n) = -34
5n + (1 * 2 + -7n * 2) = -34
5n + (2 + -14n) = -34

Reorder the terms:
2 + 5n + -14n = -34

Combine like terms: 5n + -14n = -9n
2 + -9n = -34

Solving
2 + -9n = -34

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + -9n = -34 + -2

Combine like terms: 2 + -2 = 0
0 + -9n = -34 + -2
-9n = -34 + -2

Combine like terms: -34 + -2 = -36
-9n = -36

Divide each side by '-9'.
n = 4

Simplifying
n = 4