-42=6d-3(2+3d)

Solution for -42=6d-3(2+3d) equation:

Simplifying
-42 = 6d + -3(2 + 3d)
-42 = 6d + (2 * -3 + 3d * -3)
-42 = 6d + (-6 + -9d)

Reorder the terms:
-42 = -6 + 6d + -9d

Combine like terms: 6d + -9d = -3d
-42 = -6 + -3d

Solving
-42 = -6 + -3d

Solving for variable 'd'.

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

Add '3d' to each side of the equation.
-42 + 3d = -6 + -3d + 3d

Combine like terms: -3d + 3d = 0
-42 + 3d = -6 + 0
-42 + 3d = -6

Add '42' to each side of the equation.
-42 + 42 + 3d = -6 + 42

Combine like terms: -42 + 42 = 0
0 + 3d = -6 + 42
3d = -6 + 42

Combine like terms: -6 + 42 = 36
3d = 36

Divide each side by '3'.
d = 12

Simplifying
d = 12