Answer:
d = 2
Step-by-step explanation:
Simplifying
14d + -22 + 5d = 12d + -8
Reorder the terms:
-22 + 14d + 5d = 12d + -8
Combine like terms: 14d + 5d = 19d
-22 + 19d = 12d + -8
Reorder the terms:
-22 + 19d = -8 + 12d
Solving
-22 + 19d = -8 + 12d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-12d' to each side of the equation.
-22 + 19d + -12d = -8 + 12d + -12d
Combine like terms: 19d + -12d = 7d
-22 + 7d = -8 + 12d + -12d
Combine like terms: 12d + -12d = 0
-22 + 7d = -8 + 0
-22 + 7d = -8
Add '22' to each side of the equation.
-22 + 22 + 7d = -8 + 22
Combine like terms: -22 + 22 = 0
0 + 7d = -8 + 22
7d = -8 + 22
Combine like terms: -8 + 22 = 14
7d = 14
Divide each side by '7'.
d = 2
Simplifying
d = 2
