-3n-(n-6)=7(n+4)

Solution for -3n-(n-6)=7(n+4) equation:

Simplifying
-3n + -1(n + -6) = 7(n + 4)

Reorder the terms:
-3n + -1(-6 + n) = 7(n + 4)
-3n + (-6 * -1 + n * -1) = 7(n + 4)
-3n + (6 + -1n) = 7(n + 4)

Reorder the terms:
6 + -3n + -1n = 7(n + 4)

Combine like terms: -3n + -1n = -4n
6 + -4n = 7(n + 4)

Reorder the terms:
6 + -4n = 7(4 + n)
6 + -4n = (4 * 7 + n * 7)
6 + -4n = (28 + 7n)

Solving
6 + -4n = 28 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
6 + -4n + -7n = 28 + 7n + -7n

Combine like terms: -4n + -7n = -11n
6 + -11n = 28 + 7n + -7n

Combine like terms: 7n + -7n = 0
6 + -11n = 28 + 0
6 + -11n = 28

Add '-6' to each side of the equation.
6 + -6 + -11n = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -11n = 28 + -6
-11n = 28 + -6

Combine like terms: 28 + -6 = 22
-11n = 22

Divide each side by '-11'.
n = -2

Simplifying
n = -2