-33=-3+6(d+9)

Solution for -33=-3+6(d+9) equation:

Simplifying
-33 = -3 + 6(d + 9)

Reorder the terms:
-33 = -3 + 6(9 + d)
-33 = -3 + (9 * 6 + d * 6)
-33 = -3 + (54 + 6d)

Combine like terms: -3 + 54 = 51
-33 = 51 + 6d

Solving
-33 = 51 + 6d

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
-33 + -6d = 51 + 6d + -6d

Combine like terms: 6d + -6d = 0
-33 + -6d = 51 + 0
-33 + -6d = 51

Add '33' to each side of the equation.
-33 + 33 + -6d = 51 + 33

Combine like terms: -33 + 33 = 0
0 + -6d = 51 + 33
-6d = 51 + 33

Combine like terms: 51 + 33 = 84
-6d = 84

Divide each side by '-6'.
d = -14

Simplifying
d = -14