6=a*8+b*4+c*2+d

Solution for 6=a*8+b*4+c*2+d equation:

Simplifying
6 = a * 8 + b * 4 + c * 2 + d

Reorder the terms for easier multiplication:
6 = 8a + b * 4 + c * 2 + d

Reorder the terms for easier multiplication:
6 = 8a + 4b + c * 2 + d

Reorder the terms for easier multiplication:
6 = 8a + 4b + 2c + d

Solving
6 = 8a + 4b + 2c + d

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + -8a = 8a + 4b + 2c + -8a + d

Reorder the terms:
6 + -8a = 8a + -8a + 4b + 2c + d

Combine like terms: 8a + -8a = 0
6 + -8a = 0 + 4b + 2c + d
6 + -8a = 4b + 2c + d

Add '-6' to each side of the equation.
6 + -6 + -8a = 4b + 2c + -6 + d

Combine like terms: 6 + -6 = 0
0 + -8a = 4b + 2c + -6 + d
-8a = 4b + 2c + -6 + d

Reorder the terms:
-8a = -6 + 4b + 2c + d

Divide each side by '-8'.
a = 0.75 + -0.5b + -0.25c + -0.125d

Simplifying
a = 0.75 + -0.5b + -0.25c + -0.125d