3(2d+1)=3(3D-1)-6(1-d)

Solution for 3(2d+1)=3(3D-1)-6(1-d) equation:

Simplifying
3(2d + 1) = 3(3D + -1) + -6(1 + -1d)

Reorder the terms:
3(1 + 2d) = 3(3D + -1) + -6(1 + -1d)
(1 * 3 + 2d * 3) = 3(3D + -1) + -6(1 + -1d)
(3 + 6d) = 3(3D + -1) + -6(1 + -1d)

Reorder the terms:
3 + 6d = 3(-1 + 3D) + -6(1 + -1d)
3 + 6d = (-1 * 3 + 3D * 3) + -6(1 + -1d)
3 + 6d = (-3 + 9D) + -6(1 + -1d)
3 + 6d = -3 + 9D + (1 * -6 + -1d * -6)
3 + 6d = -3 + 9D + (-6 + 6d)

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

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

Add '-6d' to each side of the equation.
3 + 6d + -6d = -9 + 9D + 6d + -6d

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

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

Solving
3 = -9 + 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.
3 + -9D = -9 + 9D + -9D

Combine like terms: 9D + -9D = 0
3 + -9D = -9 + 0
3 + -9D = -9

Add '-3' to each side of the equation.
3 + -3 + -9D = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -9D = -9 + -3
-9D = -9 + -3

Combine like terms: -9 + -3 = -12
-9D = -12

Divide each side by '-9'.
D = 1.333333333

Simplifying
D = 1.333333333