2(6d+3)=18-3(16+3d)

Solution for 2(6d+3)=18-3(16+3d) equation:

Simplifying
2(6d + 3) = 18 + -3(16 + 3d)

Reorder the terms:
2(3 + 6d) = 18 + -3(16 + 3d)
(3 * 2 + 6d * 2) = 18 + -3(16 + 3d)
(6 + 12d) = 18 + -3(16 + 3d)
6 + 12d = 18 + (16 * -3 + 3d * -3)
6 + 12d = 18 + (-48 + -9d)

Combine like terms: 18 + -48 = -30
6 + 12d = -30 + -9d

Solving
6 + 12d = -30 + -9d

Solving for variable 'd'.

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

Add '9d' to each side of the equation.
6 + 12d + 9d = -30 + -9d + 9d

Combine like terms: 12d + 9d = 21d
6 + 21d = -30 + -9d + 9d

Combine like terms: -9d + 9d = 0
6 + 21d = -30 + 0
6 + 21d = -30

Add '-6' to each side of the equation.
6 + -6 + 21d = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 21d = -30 + -6
21d = -30 + -6

Combine like terms: -30 + -6 = -36
21d = -36

Divide each side by '21'.
d = -1.714285714

Simplifying
d = -1.714285714