3(n-15)-(6-2n)=4n

Solution for 3(n-15)-(6-2n)=4n equation:

Simplifying
3(n + -15) + -1(6 + -2n) = 4n

Reorder the terms:
3(-15 + n) + -1(6 + -2n) = 4n
(-15 * 3 + n * 3) + -1(6 + -2n) = 4n
(-45 + 3n) + -1(6 + -2n) = 4n
-45 + 3n + (6 * -1 + -2n * -1) = 4n
-45 + 3n + (-6 + 2n) = 4n

Reorder the terms:
-45 + -6 + 3n + 2n = 4n

Combine like terms: -45 + -6 = -51
-51 + 3n + 2n = 4n

Combine like terms: 3n + 2n = 5n
-51 + 5n = 4n

Solving
-51 + 5n = 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.
-51 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
-51 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-51 + 1n = 0

Add '51' to each side of the equation.
-51 + 51 + 1n = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 1n = 0 + 51
1n = 0 + 51

Combine like terms: 0 + 51 = 51
1n = 51

Divide each side by '1'.
n = 51

Simplifying
n = 51