please help me Solve −4|8−5n|=13.
Mathematics · High School · Wed Jan 13 2021
Answered on
Given the value:
−4|8−5n| = 13
Solve for n.
Solution:
In order to solve for n, we simply needed to take the absolute value sign first. To do so we must take note that the absolute value of a number, is simply equal to its positive value. This means that the absolute value of a negative number is equal to its positive value.
−4|8−5n| = 13
−4(8 + 5n) = 13
-32 - 20n = 13
Transpose -32 to the other side of the equation hence it must be taken to note that in transposing a number, the sign changes.
-20n = 13 + 32
-20n = 45
Divide both sides by -20 in order to determine the value of n.
-20n/-20 = 45/-20
n = - 9/4
Final answer:
n = - 9/4