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

Combine like terms: 9d + 6d = 15d
-3 + 6d = -9 + 15d

Solving
-3 + 6d = -9 + 15d

Solving for variable 'd'.

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

Add '-15d' to each side of the equation.
-3 + 6d + -15d = -9 + 15d + -15d

Combine like terms: 6d + -15d = -9d
-3 + -9d = -9 + 15d + -15d

Combine like terms: 15d + -15d = 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 = -6
-9d = -6

Divide each side by '-9'.
d = 0.6666666667

Simplifying
d = 0.6666666667