3(4d+1)-9d=6(2d-d)

Solution for 3(4d+1)-9d=6(2d-d) equation:

Simplifying
3(4d + 1) + -9d = 6(2d + -1d)

Reorder the terms:
3(1 + 4d) + -9d = 6(2d + -1d)
(1 * 3 + 4d * 3) + -9d = 6(2d + -1d)
(3 + 12d) + -9d = 6(2d + -1d)

Combine like terms: 12d + -9d = 3d
3 + 3d = 6(2d + -1d)

Combine like terms: 2d + -1d = 1d
3 + 3d = 6(1d)

Remove parenthesis around (1d)
3 + 3d = 6 * 1d

Multiply 6 * 1
3 + 3d = 6d

Solving
3 + 3d = 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.
3 + 3d + -6d = 6d + -6d

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

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

Add '-3' to each side of the equation.
3 + -3 + -3d = 0 + -3

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

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

Divide each side by '-3'.
d = 1

Simplifying
d = 1