Question

solve the equation below using balanced moves. whats the value of n? solve below, or solve on paper and then enter your answer on zearn. whats the value of n? 7(2n - 3) = 21n + 21, n =

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(7(2n - 3)\) to get \(7\times2n-7\times3 = 14n-21\). So the equation becomes \(14n - 21=21n + 21\).

Step2: Subtract \(14n\) from both sides

Subtracting \(14n\) from both sides to get the variable terms on one side: \(14n-21 - 14n=21n + 21-14n\), which simplifies to \(-21 = 7n+21\).

Step3: Subtract 21 from both sides

Subtracting 21 from both sides: \(-21-21=7n + 21-21\), which gives \(-42 = 7n\).

Step4: Divide both sides by 7

Dividing both sides by 7: \(\frac{-42}{7}=\frac{7n}{7}\), so \(n=- 6\).

Answer:

\(-6\)