Question

The equation shown can be rearranged and simplified in terms of d

.
5(7n+8)−2(4n+6)=3(n−8)+d

What is the value of d in the equation?

a=4(6n+13)=d
b=4(6n+19)=d
c=2(12n+5)=d
d=2(12n+11)=d

Answer 1

We can simplify and rearrange the given equation as follows:

5(7n+8)-2(4n+6)=3(n-8)+d

35n + 40 - 8n - 12 = 3n - 24 + d (distributing and simplifying)

27n + 28 = 3n - 24 + d

24n + 52 = d

Therefore, the value of d in the equation is 24n + 52.

We can also check the other values of d given in the options:

a = 4(6n+13) = 24n + 52, which matches our answer.

b = 4(6n+19) = 24n + 76, which is not equal to the value of d in the equation.

c = 2(12n+5) = 24n + 10, which is not equal to the value of d in the equation.

d = 2(12n+11) = 24n + 22, which is not equal to the value of d in the equation.

Therefore, the correct answer is d = 24n + 52.