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

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

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

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

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

Combine like terms: 2 + -9 = -7
3 + 3d = 6(-7)

Multiply 6 * -7
3 + 3d = -42

Solving
3 + 3d = -42

Solving for variable 'd'.

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

Add '-3' to each side of the equation.
3 + -3 + 3d = -42 + -3

Combine like terms: 3 + -3 = 0
0 + 3d = -42 + -3
3d = -42 + -3

Combine like terms: -42 + -3 = -45
3d = -45

Divide each side by '3'.
d = -15

Simplifying
d = -15