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

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

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

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

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

Remove parenthesis around (2 + -1d)
3 + 3d = 2 + -1d

Solving
3 + 3d = 2 + -1d

Solving for variable 'd'.

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

Add 'd' to each side of the equation.
3 + 3d + d = 2 + -1d + d

Combine like terms: 3d + d = 4d
3 + 4d = 2 + -1d + d

Combine like terms: -1d + d = 0
3 + 4d = 2 + 0
3 + 4d = 2

Add '-3' to each side of the equation.
3 + -3 + 4d = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 4d = 2 + -3
4d = 2 + -3

Combine like terms: 2 + -3 = -1
4d = -1

Divide each side by '4'.
d = -0.25

Simplifying
d = -0.25