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

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

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

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

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

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

Solving
-6 + 12d = 12 + -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.
-6 + 12d + 6d = 12 + -6d + 6d

Combine like terms: 12d + 6d = 18d
-6 + 18d = 12 + -6d + 6d

Combine like terms: -6d + 6d = 0
-6 + 18d = 12 + 0
-6 + 18d = 12

Add '6' to each side of the equation.
-6 + 6 + 18d = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 18d = 12 + 6
18d = 12 + 6

Combine like terms: 12 + 6 = 18
18d = 18

Divide each side by '18'.
d = 1

Simplifying
d = 1