9n-4(n+8)=3(2n-7)

Solution for 9n-4(n+8)=3(2n-7) equation:

Simplifying
9n + -4(n + 8) = 3(2n + -7)

Reorder the terms:
9n + -4(8 + n) = 3(2n + -7)
9n + (8 * -4 + n * -4) = 3(2n + -7)
9n + (-32 + -4n) = 3(2n + -7)

Reorder the terms:
-32 + 9n + -4n = 3(2n + -7)

Combine like terms: 9n + -4n = 5n
-32 + 5n = 3(2n + -7)

Reorder the terms:
-32 + 5n = 3(-7 + 2n)
-32 + 5n = (-7 * 3 + 2n * 3)
-32 + 5n = (-21 + 6n)

Solving
-32 + 5n = -21 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-32 + 5n + -6n = -21 + 6n + -6n

Combine like terms: 5n + -6n = -1n
-32 + -1n = -21 + 6n + -6n

Combine like terms: 6n + -6n = 0
-32 + -1n = -21 + 0
-32 + -1n = -21

Add '32' to each side of the equation.
-32 + 32 + -1n = -21 + 32

Combine like terms: -32 + 32 = 0
0 + -1n = -21 + 32
-1n = -21 + 32

Combine like terms: -21 + 32 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11