Answer:
To find the value of n in the equation, let's solve the equation step by step:
-1/2(2n + 4) - 6 = -9 + 4(2n + 1)
First, let's simplify the equation by performing the operations inside the parentheses:
-1/2 * 2n - 1/2 * 4 - 6 = -9 + 4 * 2n + 4 * 1
- n - 2 - 6 = -9 + 8n + 4
Next, let's combine like terms on both sides of the equation:
- n - 8 = -9 + 8n + 4
Now, let's simplify further by combining the constants on both sides:
- n - 8 = 8n - 5
To isolate the variable terms on one side, let's move the n term to the right side by adding n to both sides:
-8 = 8n - n - 5
Simplifying further:
-8 = 7n - 5
Next, let's isolate the variable terms by moving the constant term to the right side by adding 5 to both sides:
-8 + 5 = 7n - n
-3 = 6n
Finally, let's solve for n by dividing both sides of the equation by 6:
-3/6 = n
Simplifying the division:
-1/2 = n
Therefore, the value of n in the equation is -1/2.