8d-2(3+d)=42

Solution for 8d-2(3+d)=42 equation:

Simplifying
8d + -2(3 + d) = 42
8d + (3 * -2 + d * -2) = 42
8d + (-6 + -2d) = 42

Reorder the terms:
-6 + 8d + -2d = 42

Combine like terms: 8d + -2d = 6d
-6 + 6d = 42

Solving
-6 + 6d = 42

Solving for variable 'd'.

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

Add '6' to each side of the equation.
-6 + 6 + 6d = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 6d = 42 + 6
6d = 42 + 6

Combine like terms: 42 + 6 = 48
6d = 48

Divide each side by '6'.
d = 8

Simplifying
d = 8