2(n-7)-(6-3n)=4n

Solution for 2(n-7)-(6-3n)=4n equation:

Simplifying
2(n + -7) + -1(6 + -3n) = 4n

Reorder the terms:
2(-7 + n) + -1(6 + -3n) = 4n
(-7 * 2 + n * 2) + -1(6 + -3n) = 4n
(-14 + 2n) + -1(6 + -3n) = 4n
-14 + 2n + (6 * -1 + -3n * -1) = 4n
-14 + 2n + (-6 + 3n) = 4n

Reorder the terms:
-14 + -6 + 2n + 3n = 4n

Combine like terms: -14 + -6 = -20
-20 + 2n + 3n = 4n

Combine like terms: 2n + 3n = 5n
-20 + 5n = 4n

Solving
-20 + 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.
-20 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
-20 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-20 + 1n = 0

Add '20' to each side of the equation.
-20 + 20 + 1n = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 1n = 0 + 20
1n = 0 + 20

Combine like terms: 0 + 20 = 20
1n = 20

Divide each side by '1'.
n = 20

Simplifying
n = 20