Reasoning Use the Distributive Property to solve the equation below. Use pencil and paper. Explain why the Distributive Property makes it possible to solve this equation.
24 -(3C + 4) = 2(c + 4) + C
The solution of the equation is

c=2

Step-by-step explanation:

To make it a little simpler, use the distributive proptery on both sides of the equations first.

For the left side, it's asking 24 -(3c+4). We can multiply the (-) sign by (3c+4).

This leaves us with 24-3c-4. Combine Like Terms: 20-3c.

For the right side of the equation its asking 2(c+4) +c. First, distribute 2 to c+4. This leaves you with 2c+8+c (because 2 times c=2c and 2 times 4= 8). Combine Like Terms: 3c+8.

The final equation is 20-3c=3c+8. Solve from there.

20-3c+3c=3c+3c+8     Add 3c to both sides

20=6c+8                

20-8=6c-8                 Subtract 8 from both sides.

12=6c                              Divide by 2

2=c

Please correct me if I'm wrong:)

step-by-step explanation: