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

Solution for 3(n-4)=-2(n+5)+6(n-4) equation:

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

Reorder the terms:
3(-4 + n) = -2(n + 5) + 6(n + -4)
(-4 * 3 + n * 3) = -2(n + 5) + 6(n + -4)
(-12 + 3n) = -2(n + 5) + 6(n + -4)

Reorder the terms:
-12 + 3n = -2(5 + n) + 6(n + -4)
-12 + 3n = (5 * -2 + n * -2) + 6(n + -4)
-12 + 3n = (-10 + -2n) + 6(n + -4)

Reorder the terms:
-12 + 3n = -10 + -2n + 6(-4 + n)
-12 + 3n = -10 + -2n + (-4 * 6 + n * 6)
-12 + 3n = -10 + -2n + (-24 + 6n)

Reorder the terms:
-12 + 3n = -10 + -24 + -2n + 6n

Combine like terms: -10 + -24 = -34
-12 + 3n = -34 + -2n + 6n

Combine like terms: -2n + 6n = 4n
-12 + 3n = -34 + 4n

Solving
-12 + 3n = -34 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-12 + 3n + -4n = -34 + 4n + -4n

Combine like terms: 3n + -4n = -1n
-12 + -1n = -34 + 4n + -4n

Combine like terms: 4n + -4n = 0
-12 + -1n = -34 + 0
-12 + -1n = -34

Add '12' to each side of the equation.
-12 + 12 + -1n = -34 + 12

Combine like terms: -12 + 12 = 0
0 + -1n = -34 + 12
-1n = -34 + 12

Combine like terms: -34 + 12 = -22
-1n = -22

Divide each side by '-1'.
n = 22

Simplifying
n = 22