SOLUTION: I need help solving this equation: L=a+(n-1)×d. I need to solve for d. Please can you give an explanation as well? Thanks in advance!

Algebra ->  Equations -> SOLUTION: I need help solving this equation: L=a+(n-1)×d. I need to solve for d. Please can you give an explanation as well? Thanks in advance!      Log On


   

Question 1123336: I need help solving this equation: L=a+(n-1)×d. I need to solve for d. Please can you give an explanation as well? Thanks in advance!
Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
d=%28L-a%29%2F%28n-1%29

Explanation? Just undo everything that was done to d in the original equation. Do this for both sides of the equation.

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+L+=+a%2B%28n-1%29%2Ad+
Subtract a from both sides:
+L-a+=+%28n-1%29%2Ad+
Divide by n-1 on both sides:
++%28L-a%29%2F%28n-1%29+=+d+
Re-writing with d on left hand side:
+d+=+%28L-a%29%2F%28n-1%29+ with the restriction +n+%3C%3E+1+