The given statement, translated into the equation 8n - (-54/9) = -18, simplifies to 8n + 6 = -18. Solving for the variable, the solution is n = -3. Therefore, the correct expression and solution are 8n + 6 = -18, n = -3.
To express the given statement "the quotient of -54 and 9 subtracted from 8 times a number is -18" as an algebraic equation, let the unknown number be denoted as n. The equation becomes:
8n - (-54/9) = -18
Simplifying the expression inside the parentheses:
8n + 6 = -18
Isolate the variable by subtracting 6 from both sides:
8n = -24
Finally, divide both sides by 8 to find n:
n=−3
The correct translation is 8n - (-54/9) = -18, and the solution is n=−3.