n-11+5=-4(n+3)-9(8-2n)

Solution for n-11+5=-4(n+3)-9(8-2n) equation:

Simplifying
n + -11 + 5 = -4(n + 3) + -9(8 + -2n)

Reorder the terms:
-11 + 5 + n = -4(n + 3) + -9(8 + -2n)

Combine like terms: -11 + 5 = -6
-6 + n = -4(n + 3) + -9(8 + -2n)

Reorder the terms:
-6 + n = -4(3 + n) + -9(8 + -2n)
-6 + n = (3 * -4 + n * -4) + -9(8 + -2n)
-6 + n = (-12 + -4n) + -9(8 + -2n)
-6 + n = -12 + -4n + (8 * -9 + -2n * -9)
-6 + n = -12 + -4n + (-72 + 18n)

Reorder the terms:
-6 + n = -12 + -72 + -4n + 18n

Combine like terms: -12 + -72 = -84
-6 + n = -84 + -4n + 18n

Combine like terms: -4n + 18n = 14n
-6 + n = -84 + 14n

Solving
-6 + n = -84 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-6 + n + -14n = -84 + 14n + -14n

Combine like terms: n + -14n = -13n
-6 + -13n = -84 + 14n + -14n

Combine like terms: 14n + -14n = 0
-6 + -13n = -84 + 0
-6 + -13n = -84

Add '6' to each side of the equation.
-6 + 6 + -13n = -84 + 6

Combine like terms: -6 + 6 = 0
0 + -13n = -84 + 6
-13n = -84 + 6

Combine like terms: -84 + 6 = -78
-13n = -78

Divide each side by '-13'.
n = 6

Simplifying
n = 6