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

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

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

Reorder the terms:
6(7 + n) + -1(7n + -2) = -2n
(7 * 6 + n * 6) + -1(7n + -2) = -2n
(42 + 6n) + -1(7n + -2) = -2n

Reorder the terms:
42 + 6n + -1(-2 + 7n) = -2n
42 + 6n + (-2 * -1 + 7n * -1) = -2n
42 + 6n + (2 + -7n) = -2n

Reorder the terms:
42 + 2 + 6n + -7n = -2n

Combine like terms: 42 + 2 = 44
44 + 6n + -7n = -2n

Combine like terms: 6n + -7n = -1n
44 + -1n = -2n

Solving
44 + -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.
44 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
44 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
44 + 1n = 0

Add '-44' to each side of the equation.
44 + -44 + 1n = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 1n = 0 + -44
1n = 0 + -44

Combine like terms: 0 + -44 = -44
1n = -44

Divide each side by '1'.
n = -44

Simplifying
n = -44