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

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

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

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

Reorder the terms:
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 = 3d
6 + 3d = -30 + 9d + -9d

Combine like terms: 9d + -9d = 0
6 + 3d = -30 + 0
6 + 3d = -30

Add '-6' to each side of the equation.
6 + -6 + 3d = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 3d = -30 + -6
3d = -30 + -6

Combine like terms: -30 + -6 = -36
3d = -36

Divide each side by '3'.
d = -12

Simplifying
d = -12