7(n-5)-(8n-1)=-2n

Solution for 7(n-5)-(8n-1)=-2n equation:

Simplifying
7(n + -5) + -1(8n + -1) = -2n

Reorder the terms:
7(-5 + n) + -1(8n + -1) = -2n
(-5 * 7 + n * 7) + -1(8n + -1) = -2n
(-35 + 7n) + -1(8n + -1) = -2n

Reorder the terms:
-35 + 7n + -1(-1 + 8n) = -2n
-35 + 7n + (-1 * -1 + 8n * -1) = -2n
-35 + 7n + (1 + -8n) = -2n

Reorder the terms:
-35 + 1 + 7n + -8n = -2n

Combine like terms: -35 + 1 = -34
-34 + 7n + -8n = -2n

Combine like terms: 7n + -8n = -1n
-34 + -1n = -2n

Solving
-34 + -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.
-34 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
-34 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 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