-6+5(4n-3)=-8(-8n+4)-5

Solution for -6+5(4n-3)=-8(-8n+4)-5 equation:

Simplifying
-6 + 5(4n + -3) = -8(-8n + 4) + -5

Reorder the terms:
-6 + 5(-3 + 4n) = -8(-8n + 4) + -5
-6 + (-3 * 5 + 4n * 5) = -8(-8n + 4) + -5
-6 + (-15 + 20n) = -8(-8n + 4) + -5

Combine like terms: -6 + -15 = -21
-21 + 20n = -8(-8n + 4) + -5

Reorder the terms:
-21 + 20n = -8(4 + -8n) + -5
-21 + 20n = (4 * -8 + -8n * -8) + -5
-21 + 20n = (-32 + 64n) + -5

Reorder the terms:
-21 + 20n = -32 + -5 + 64n

Combine like terms: -32 + -5 = -37
-21 + 20n = -37 + 64n

Solving
-21 + 20n = -37 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
-21 + 20n + -64n = -37 + 64n + -64n

Combine like terms: 20n + -64n = -44n
-21 + -44n = -37 + 64n + -64n

Combine like terms: 64n + -64n = 0
-21 + -44n = -37 + 0
-21 + -44n = -37

Add '21' to each side of the equation.
-21 + 21 + -44n = -37 + 21

Combine like terms: -21 + 21 = 0
0 + -44n = -37 + 21
-44n = -37 + 21

Combine like terms: -37 + 21 = -16
-44n = -16

Divide each side by '-44'.
n = 0.3636363636

Simplifying
n = 0.3636363636