8d-0.3(6-9d)=42

Solution for 8d-0.3(6-9d)=42 equation:

Simplifying
8d + -0.3(6 + -9d) = 42
8d + (6 * -0.3 + -9d * -0.3) = 42
8d + (-1.8 + 2.7d) = 42

Reorder the terms:
-1.8 + 8d + 2.7d = 42

Combine like terms: 8d + 2.7d = 10.7d
-1.8 + 10.7d = 42

Solving
-1.8 + 10.7d = 42

Solving for variable 'd'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 10.7d = 42 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 10.7d = 42 + 1.8
10.7d = 42 + 1.8

Combine like terms: 42 + 1.8 = 43.8
10.7d = 43.8

Divide each side by '10.7'.
d = 4.093457944

Simplifying
d = 4.093457944