7d+6+3d=3(3d-2)

Solution for 7d+6+3d=3(3d-2) equation:

Simplifying
7d + 6 + 3d = 3(3d + -2)

Reorder the terms:
6 + 7d + 3d = 3(3d + -2)

Combine like terms: 7d + 3d = 10d
6 + 10d = 3(3d + -2)

Reorder the terms:
6 + 10d = 3(-2 + 3d)
6 + 10d = (-2 * 3 + 3d * 3)
6 + 10d = (-6 + 9d)

Solving
6 + 10d = -6 + 9d

Solving for variable 'd'.

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

Add '-9d' to each side of the equation.
6 + 10d + -9d = -6 + 9d + -9d

Combine like terms: 10d + -9d = 1d
6 + 1d = -6 + 9d + -9d

Combine like terms: 9d + -9d = 0
6 + 1d = -6 + 0
6 + 1d = -6

Add '-6' to each side of the equation.
6 + -6 + 1d = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 1d = -6 + -6
1d = -6 + -6

Combine like terms: -6 + -6 = -12
1d = -12

Divide each side by '1'.
d = -12

Simplifying
d = -12