8d-0.3333(6-9d)=42

Solution for 8d-0.3333(6-9d)=42 equation:

Simplifying
8d + -0.3333(6 + -9d) = 42
8d + (6 * -0.3333 + -9d * -0.3333) = 42
8d + (-1.9998 + 2.9997d) = 42

Reorder the terms:
-1.9998 + 8d + 2.9997d = 42

Combine like terms: 8d + 2.9997d = 10.9997d
-1.9998 + 10.9997d = 42

Solving
-1.9998 + 10.9997d = 42

Solving for variable 'd'.

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

Add '1.9998' to each side of the equation.
-1.9998 + 1.9998 + 10.9997d = 42 + 1.9998

Combine like terms: -1.9998 + 1.9998 = 0.0000
0.0000 + 10.9997d = 42 + 1.9998
10.9997d = 42 + 1.9998

Combine like terms: 42 + 1.9998 = 43.9998
10.9997d = 43.9998

Divide each side by '10.9997'.
d = 4.000090912

Simplifying
d = 4.000090912