Answer is your number is 35
Step by step
Your number is n
Subtract 19 from your number
= n - 19
Multiply the difference by -6
= -6(n - 19)
The result is -96
So your equation is
-6( n - 19) = -96
divide both sides by -6 to isolate n
-6/-6 (n - 19) = -96 / -6
n - 19 = 16
Add 19 to both sides to solve for n
n - 19 + 19 = 16 + 19
Simplify
n = 35
Your number is 35
Check your work
Your equation is -6( n - 19) = -96
Sub in 35 for n
-6( 35 - 19) = -96
Divide both sides by -6
35 - 19 = 16
16 = 16
It equals so your solution is correct!