Math

Question Solve the linear equation 7k+mj=kr+4m+37k + mj = kr + 4m + 3 for mm.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 7k+mj=kr+4m+37k + mj = kr +4m +3 . We are asked to solve for mm

STEP 2

First, we need to gather all terms involving mm on one side of the equation. We can do this by subtracting mjmj and 4m4m from both sides of the equation.
7kkr=mj4m+7k - kr = mj -4m +

STEP 3

Now, we can factor out mm from the right side of the equation.
7kkr=m(j)+37k - kr = m(j -) +3

STEP 4

Next, we need to isolate mm by subtracting 33 from both sides of the equation.
7kkr3=m(j4)7k - kr -3 = m(j -4)

STEP 5

Finally, we can solve for mm by dividing both sides of the equation by j4j -4.
m=7kkr3j4m = \frac{7k - kr -3}{j -4}So, the solution for mm is m=7kkr3j4m = \frac{7k - kr -3}{j -4}.

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