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

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

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

Combine like terms: 7n + -2n = 5n
5n = 4(n + -2) + 2(n + -6)

Reorder the terms:
5n = 4(-2 + n) + 2(n + -6)
5n = (-2 * 4 + n * 4) + 2(n + -6)
5n = (-8 + 4n) + 2(n + -6)

Reorder the terms:
5n = -8 + 4n + 2(-6 + n)
5n = -8 + 4n + (-6 * 2 + n * 2)
5n = -8 + 4n + (-12 + 2n)

Reorder the terms:
5n = -8 + -12 + 4n + 2n

Combine like terms: -8 + -12 = -20
5n = -20 + 4n + 2n

Combine like terms: 4n + 2n = 6n
5n = -20 + 6n

Solving
5n = -20 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
5n + -6n = -20 + 6n + -6n

Combine like terms: 5n + -6n = -1n
-1n = -20 + 6n + -6n

Combine like terms: 6n + -6n = 0
-1n = -20 + 0
-1n = -20

Divide each side by '-1'.
n = 20

Simplifying
n = 20