34+3n=-2(n+3)

Solution for 34+3n=-2(n+3) equation:

Simplifying
34 + 3n = -2(n + 3)

Reorder the terms:
34 + 3n = -2(3 + n)
34 + 3n = (3 * -2 + n * -2)
34 + 3n = (-6 + -2n)

Solving
34 + 3n = -6 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
34 + 3n + 2n = -6 + -2n + 2n

Combine like terms: 3n + 2n = 5n
34 + 5n = -6 + -2n + 2n

Combine like terms: -2n + 2n = 0
34 + 5n = -6 + 0
34 + 5n = -6

Add '-34' to each side of the equation.
34 + -34 + 5n = -6 + -34

Combine like terms: 34 + -34 = 0
0 + 5n = -6 + -34
5n = -6 + -34

Combine like terms: -6 + -34 = -40
5n = -40

Divide each side by '5'.
n = -8

Simplifying
n = -8