Question

solve for n.
8(-9 + 2n) - 9n = -9
n = \boxed{}

Explanation:

Step1: Distribute the 8

First, we distribute the 8 into the parentheses. Using the distributive property \(a(b + c)=ab+ac\), we have:
\(8\times(-9)+8\times(2n)-9n=-9\)
\(-72 + 16n-9n=-9\)

Step2: Combine like terms

Next, we combine the like terms (the terms with \(n\)). \(16n-9n = 7n\), so the equation becomes:
\(-72+7n=-9\)

Step3: Add 72 to both sides

To isolate the term with \(n\), we add 72 to both sides of the equation.
\(-72 + 72+7n=-9 + 72\)
\(7n=63\)

Step4: Divide by 7

Finally, we divide both sides by 7 to solve for \(n\).
\(\frac{7n}{7}=\frac{63}{7}\)
\(n = 9\)

Answer:

\(n = 9\)