Answer: Middle integer = -24
Step-by-step explanation: First understand the formula for finding three consecutive even numbers.
Formula used: -4(n+n+4)=192
Let's solve your equation step-by-step.
−4(n+n+4)=192
Step 1: Simplify both sides of the equation.
−4(n+n+4)=192
(−4)(n)+(−4)(n)+(−4)(4)=192(Distribute)
−4n+−4n+−16=192
(−4n+−4n)+(−16)=192(Combine Like Terms)
−8n+−16=192
−8n−16=192
Step 2: Add 16 to both sides.
−8n−16+16=192+16
−8n=208
Step 3: Divide both sides by -8.
−8n
−8
=
208
−8
n=−26
Now find the middle integer.
Formula used: n+n+2+n+4
-26+(-26)+2+(-26)+4
-26+(-24)+(-22)
Middle integer=-24
