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

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

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

Reorder the terms:
34 + 5n = -1(1 + -7n)
34 + 5n = (1 * -1 + -7n * -1)
34 + 5n = (-1 + 7n)

Solving
34 + 5n = -1 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
34 + 5n + -7n = -1 + 7n + -7n

Combine like terms: 5n + -7n = -2n
34 + -2n = -1 + 7n + -7n

Combine like terms: 7n + -7n = 0
34 + -2n = -1 + 0
34 + -2n = -1

Add '-34' to each side of the equation.
34 + -34 + -2n = -1 + -34

Combine like terms: 34 + -34 = 0
0 + -2n = -1 + -34
-2n = -1 + -34

Combine like terms: -1 + -34 = -35
-2n = -35

Divide each side by '-2'.
n = 17.5

Simplifying
n = 17.5