3(3n+7)-(2n-6)=-22

Solution for 3(3n+7)-(2n-6)=-22 equation:

Simplifying
3(3n + 7) + -1(2n + -6) = -22

Reorder the terms:
3(7 + 3n) + -1(2n + -6) = -22
(7 * 3 + 3n * 3) + -1(2n + -6) = -22
(21 + 9n) + -1(2n + -6) = -22

Reorder the terms:
21 + 9n + -1(-6 + 2n) = -22
21 + 9n + (-6 * -1 + 2n * -1) = -22
21 + 9n + (6 + -2n) = -22

Reorder the terms:
21 + 6 + 9n + -2n = -22

Combine like terms: 21 + 6 = 27
27 + 9n + -2n = -22

Combine like terms: 9n + -2n = 7n
27 + 7n = -22

Solving
27 + 7n = -22

Solving for variable 'n'.

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

Add '-27' to each side of the equation.
27 + -27 + 7n = -22 + -27

Combine like terms: 27 + -27 = 0
0 + 7n = -22 + -27
7n = -22 + -27

Combine like terms: -22 + -27 = -49
7n = -49

Divide each side by '7'.
n = -7

Simplifying
n = -7