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

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

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

Reorder the terms:
6(-3 + n) + -1(4 + 7n) = -2n
(-3 * 6 + n * 6) + -1(4 + 7n) = -2n
(-18 + 6n) + -1(4 + 7n) = -2n
-18 + 6n + (4 * -1 + 7n * -1) = -2n
-18 + 6n + (-4 + -7n) = -2n

Reorder the terms:
-18 + -4 + 6n + -7n = -2n

Combine like terms: -18 + -4 = -22
-22 + 6n + -7n = -2n

Combine like terms: 6n + -7n = -1n
-22 + -1n = -2n

Solving
-22 + -1n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-22 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
-22 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
-22 + 1n = 0

Add '22' to each side of the equation.
-22 + 22 + 1n = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 1n = 0 + 22
1n = 0 + 22

Combine like terms: 0 + 22 = 22
1n = 22

Divide each side by '1'.
n = 22

Simplifying
n = 22