Answer:
n = 15
Step-by-step explanation:
[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]
First of all try to see if there are fractions in the equation .
If so try to find the LCM of the fractions and multiply the equation through by the LCM.
If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction
If there are brackets try to solve the terms in the bracket first
For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2
That's
[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]
[tex] - 4 - 2n = - 34[/tex]
Try to make the unknown variable the subject
That's
[tex] - 2n = - 34 + 4[/tex]
Simplify
[tex] - 2n = - 30[/tex]
Divide both sides by -2 to make n stand alone
That's
[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]
We have the final answer as
n = 15
Hope this helps you
