7n-6+4+4n=-4(-5n+4)-5(n+2)

Solution for 7n-6+4+4n=-4(-5n+4)-5(n+2) equation:

Simplifying
7n + -6 + 4 + 4n = -4(-5n + 4) + -5(n + 2)

Reorder the terms:
-6 + 4 + 7n + 4n = -4(-5n + 4) + -5(n + 2)

Combine like terms: -6 + 4 = -2
-2 + 7n + 4n = -4(-5n + 4) + -5(n + 2)

Combine like terms: 7n + 4n = 11n
-2 + 11n = -4(-5n + 4) + -5(n + 2)

Reorder the terms:
-2 + 11n = -4(4 + -5n) + -5(n + 2)
-2 + 11n = (4 * -4 + -5n * -4) + -5(n + 2)
-2 + 11n = (-16 + 20n) + -5(n + 2)

Reorder the terms:
-2 + 11n = -16 + 20n + -5(2 + n)
-2 + 11n = -16 + 20n + (2 * -5 + n * -5)
-2 + 11n = -16 + 20n + (-10 + -5n)

Reorder the terms:
-2 + 11n = -16 + -10 + 20n + -5n

Combine like terms: -16 + -10 = -26
-2 + 11n = -26 + 20n + -5n

Combine like terms: 20n + -5n = 15n
-2 + 11n = -26 + 15n

Solving
-2 + 11n = -26 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
-2 + 11n + -15n = -26 + 15n + -15n

Combine like terms: 11n + -15n = -4n
-2 + -4n = -26 + 15n + -15n

Combine like terms: 15n + -15n = 0
-2 + -4n = -26 + 0
-2 + -4n = -26

Add '2' to each side of the equation.
-2 + 2 + -4n = -26 + 2

Combine like terms: -2 + 2 = 0
0 + -4n = -26 + 2
-4n = -26 + 2

Combine like terms: -26 + 2 = -24
-4n = -24

Divide each side by '-4'.
n = 6

Simplifying
n = 6