Final answer:
To solve the equation, start by translating the words into an algebraic equation. Then, simplify and solve the equation to find the value of x.
Step-by-step explanation:
To solve the equation, we can translate the words into an algebraic equation:
Negative sixteen plus the quotient of a number and -4 is -3
-16 + (x / -4) = -3
To find the solution, we can simplify the equation:
-16 + (x / -4) = -3
Multiply both sides of the equation by -4:
(-4)(-16 + (x / -4)) = (-4)(-3)
64 - x = 12
Now, subtract 64 from both sides of the equation:
64 - x - 64 = 12 - 64
-x = -52
Divide both sides of the equation by -1 to isolate the variable:
x = 52