6(8b+c-4a)-3(a-5c+8b)=

Solution for 6(8b+c-4a)-3(a-5c+8b)= equation:

Simplifying
6(8b + c + -4a) + -3(a + -5c + 8b) = 0

Reorder the terms:
6(-4a + 8b + c) + -3(a + -5c + 8b) = 0
(-4a * 6 + 8b * 6 + c * 6) + -3(a + -5c + 8b) = 0
(-24a + 48b + 6c) + -3(a + -5c + 8b) = 0

Reorder the terms:
-24a + 48b + 6c + -3(a + 8b + -5c) = 0
-24a + 48b + 6c + (a * -3 + 8b * -3 + -5c * -3) = 0
-24a + 48b + 6c + (-3a + -24b + 15c) = 0

Reorder the terms:
-24a + -3a + 48b + -24b + 6c + 15c = 0

Combine like terms: -24a + -3a = -27a
-27a + 48b + -24b + 6c + 15c = 0

Combine like terms: 48b + -24b = 24b
-27a + 24b + 6c + 15c = 0

Combine like terms: 6c + 15c = 21c
-27a + 24b + 21c = 0

Solving
-27a + 24b + 21c = 0

Solving for variable 'a'.

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

Add '-24b' to each side of the equation.
-27a + 24b + -24b + 21c = 0 + -24b

Combine like terms: 24b + -24b = 0
-27a + 0 + 21c = 0 + -24b
-27a + 21c = 0 + -24b
Remove the zero:
-27a + 21c = -24b

Add '-21c' to each side of the equation.
-27a + 21c + -21c = -24b + -21c

Combine like terms: 21c + -21c = 0
-27a + 0 = -24b + -21c
-27a = -24b + -21c

Divide each side by '-27'.
a = 0.8888888889b + 0.7777777778c

Simplifying
a = 0.8888888889b + 0.7777777778c