8n+4(-5-7n)=-2n+1

Solution for 8n+4(-5-7n)=-2n+1 equation:

Simplifying
8n + 4(-5 + -7n) = -2n + 1
8n + (-5 * 4 + -7n * 4) = -2n + 1
8n + (-20 + -28n) = -2n + 1

Reorder the terms:
-20 + 8n + -28n = -2n + 1

Combine like terms: 8n + -28n = -20n
-20 + -20n = -2n + 1

Reorder the terms:
-20 + -20n = 1 + -2n

Solving
-20 + -20n = 1 + -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.
-20 + -20n + 2n = 1 + -2n + 2n

Combine like terms: -20n + 2n = -18n
-20 + -18n = 1 + -2n + 2n

Combine like terms: -2n + 2n = 0
-20 + -18n = 1 + 0
-20 + -18n = 1

Add '20' to each side of the equation.
-20 + 20 + -18n = 1 + 20

Combine like terms: -20 + 20 = 0
0 + -18n = 1 + 20
-18n = 1 + 20

Combine like terms: 1 + 20 = 21
-18n = 21

Divide each side by '-18'.
n = -1.166666667

Simplifying
n = -1.166666667