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

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

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

Reorder the terms:
34 + 5n = -2(2 + -7n)
34 + 5n = (2 * -2 + -7n * -2)
34 + 5n = (-4 + 14n)

Solving
34 + 5n = -4 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
34 + 5n + -14n = -4 + 14n + -14n

Combine like terms: 5n + -14n = -9n
34 + -9n = -4 + 14n + -14n

Combine like terms: 14n + -14n = 0
34 + -9n = -4 + 0
34 + -9n = -4

Add '-34' to each side of the equation.
34 + -34 + -9n = -4 + -34

Combine like terms: 34 + -34 = 0
0 + -9n = -4 + -34
-9n = -4 + -34

Combine like terms: -4 + -34 = -38
-9n = -38

Divide each side by '-9'.
n = 4.222222222

Simplifying
n = 4.222222222