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

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

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

Reorder the terms:
34 + 2n = -2(1 + -7n)
34 + 2n = (1 * -2 + -7n * -2)
34 + 2n = (-2 + 14n)

Solving
34 + 2n = -2 + 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 + 2n + -14n = -2 + 14n + -14n

Combine like terms: 2n + -14n = -12n
34 + -12n = -2 + 14n + -14n

Combine like terms: 14n + -14n = 0
34 + -12n = -2 + 0
34 + -12n = -2

Add '-34' to each side of the equation.
34 + -34 + -12n = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -12n = -2 + -34
-12n = -2 + -34

Combine like terms: -2 + -34 = -36
-12n = -36

Divide each side by '-12'.
n = 3

Simplifying
n = 3