4d+3(3d+1)=42

Solution for 4d+3(3d+1)=42 equation:

Simplifying
4d + 3(3d + 1) = 42

Reorder the terms:
4d + 3(1 + 3d) = 42
4d + (1 * 3 + 3d * 3) = 42
4d + (3 + 9d) = 42

Reorder the terms:
3 + 4d + 9d = 42

Combine like terms: 4d + 9d = 13d
3 + 13d = 42

Solving
3 + 13d = 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 + 13d = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 13d = 42 + -3
13d = 42 + -3

Combine like terms: 42 + -3 = 39
13d = 39

Divide each side by '13'.
d = 3

Simplifying
d = 3