4(n-7)-(6-2n)=5n

Solution for 4(n-7)-(6-2n)=5n equation:

Simplifying
4(n + -7) + -1(6 + -2n) = 5n

Reorder the terms:
4(-7 + n) + -1(6 + -2n) = 5n
(-7 * 4 + n * 4) + -1(6 + -2n) = 5n
(-28 + 4n) + -1(6 + -2n) = 5n
-28 + 4n + (6 * -1 + -2n * -1) = 5n
-28 + 4n + (-6 + 2n) = 5n

Reorder the terms:
-28 + -6 + 4n + 2n = 5n

Combine like terms: -28 + -6 = -34
-34 + 4n + 2n = 5n

Combine like terms: 4n + 2n = 6n
-34 + 6n = 5n

Solving
-34 + 6n = 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-34 + 6n + -5n = 5n + -5n

Combine like terms: 6n + -5n = 1n
-34 + 1n = 5n + -5n

Combine like terms: 5n + -5n = 0
-34 + 1n = 0

Add '34' to each side of the equation.
-34 + 34 + 1n = 0 + 34

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

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

Divide each side by '1'.
n = 34

Simplifying
n = 34