13d+6=7d+42

Solution for 13d+6=7d+42 equation:

Simplifying
13d + 6 = 7d + 42

Reorder the terms:
6 + 13d = 7d + 42

Reorder the terms:
6 + 13d = 42 + 7d

Solving
6 + 13d = 42 + 7d

Solving for variable 'd'.

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

Add '-7d' to each side of the equation.
6 + 13d + -7d = 42 + 7d + -7d

Combine like terms: 13d + -7d = 6d
6 + 6d = 42 + 7d + -7d

Combine like terms: 7d + -7d = 0
6 + 6d = 42 + 0
6 + 6d = 42

Add '-6' to each side of the equation.
6 + -6 + 6d = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 6d = 42 + -6
6d = 42 + -6

Combine like terms: 42 + -6 = 36
6d = 36

Divide each side by '6'.
d = 6

Simplifying
d = 6