5(6+n)-2(n-2)=

Solution for 5(6+n)-2(n-2)= equation:

Simplifying
5(6 + n) + -2(n + -2) = 0
(6 * 5 + n * 5) + -2(n + -2) = 0
(30 + 5n) + -2(n + -2) = 0

Reorder the terms:
30 + 5n + -2(-2 + n) = 0
30 + 5n + (-2 * -2 + n * -2) = 0
30 + 5n + (4 + -2n) = 0

Reorder the terms:
30 + 4 + 5n + -2n = 0

Combine like terms: 30 + 4 = 34
34 + 5n + -2n = 0

Combine like terms: 5n + -2n = 3n
34 + 3n = 0

Solving
34 + 3n = 0

Solving for variable 'n'.

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

Add '-34' to each side of the equation.
34 + -34 + 3n = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 3n = 0 + -34
3n = 0 + -34

Combine like terms: 0 + -34 = -34
3n = -34

Divide each side by '3'.
n = -11.33333333

Simplifying
n = -11.33333333