2(d+1)+3(2d+3)=3

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

Simplifying
2(d + 1) + 3(2d + 3) = 3

Reorder the terms:
2(1 + d) + 3(2d + 3) = 3
(1 * 2 + d * 2) + 3(2d + 3) = 3
(2 + 2d) + 3(2d + 3) = 3

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

Reorder the terms:
2 + 9 + 2d + 6d = 3

Combine like terms: 2 + 9 = 11
11 + 2d + 6d = 3

Combine like terms: 2d + 6d = 8d
11 + 8d = 3

Solving
11 + 8d = 3

Solving for variable 'd'.

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

Add '-11' to each side of the equation.
11 + -11 + 8d = 3 + -11

Combine like terms: 11 + -11 = 0
0 + 8d = 3 + -11
8d = 3 + -11

Combine like terms: 3 + -11 = -8
8d = -8

Divide each side by '8'.
d = -1

Simplifying
d = -1