-7/2n = 49
First, we need to simplify 7/2n to 7n/2. This will make the problem easier to solve.
[tex]- \frac{7n}{2} = 49[/tex]
Second, since we are trying to get the variable (x) by itself on one side of the problem to equal something, we can start off by multiplying each side by 2. This will get rid of our fraction.
[tex]-7n = 49 \times 2[/tex]
Third, we can go ahead and multiply 49 × 2, which is easily done by a calculator, etc. The answer to 49 × 2 is 98.
[tex]-7n = 98[/tex]
Fourth, let's now divide each side by -7. This will recreate a fraction but we can get our answer very easily from now. Go ahead and put the negative sign in front of the fraction as well.
[tex]n = -\frac{98}{7} [/tex]
Fifth, our last step is to simplify the fraction. Basically, ask yourself 'what can be multiplied by 7 to equal 98? Or, 98 ÷ 7. The answer either way is 14 (don't forget your negative).
[tex]n = -14[/tex]
Answer: [tex]\fbox {n = -14}[/tex]
