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

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

Simplifying
3(n + -5n) + -1(6 + -2n) = 4n

Combine like terms: n + -5n = -4n
3(-4n) + -1(6 + -2n) = 4n

Remove parenthesis around (-4n)
3 * -4n + -1(6 + -2n) = 4n

Multiply 3 * -4
-12n + -1(6 + -2n) = 4n
-12n + (6 * -1 + -2n * -1) = 4n
-12n + (-6 + 2n) = 4n

Reorder the terms:
-6 + -12n + 2n = 4n

Combine like terms: -12n + 2n = -10n
-6 + -10n = 4n

Solving
-6 + -10n = 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.
-6 + -10n + -4n = 4n + -4n

Combine like terms: -10n + -4n = -14n
-6 + -14n = 4n + -4n

Combine like terms: 4n + -4n = 0
-6 + -14n = 0

Add '6' to each side of the equation.
-6 + 6 + -14n = 0 + 6

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

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

Divide each side by '-14'.
n = -0.4285714286

Simplifying
n = -0.4285714286