8d-.333(6-9d)=42

Solution for 8d-.333(6-9d)=42 equation:

Simplifying
8d + -0.333(6 + -9d) = 42
8d + (6 * -0.333 + -9d * -0.333) = 42
8d + (-1.998 + 2.997d) = 42

Reorder the terms:
-1.998 + 8d + 2.997d = 42

Combine like terms: 8d + 2.997d = 10.997d
-1.998 + 10.997d = 42

Solving
-1.998 + 10.997d = 42

Solving for variable 'd'.

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

Add '1.998' to each side of the equation.
-1.998 + 1.998 + 10.997d = 42 + 1.998

Combine like terms: -1.998 + 1.998 = 0.000
0.000 + 10.997d = 42 + 1.998
10.997d = 42 + 1.998

Combine like terms: 42 + 1.998 = 43.998
10.997d = 43.998

Divide each side by '10.997'.
d = 4.000909339

Simplifying
d = 4.000909339