Question

Solve the equation 85=5(2v+4)+3v , for v . First, identify the best first step in solving this equation. What is the correct choice? Responses Divide each side by 5. Divide each side by 5. Divide each side by 3. Divide each side by 3. Subtract 4 from each side. Subtract 4 from each side. Distribute 5. Distribute 5. Question 2 Continue solving the equation. Enter your responses in the boxes. 85=5(2v+4)+3v 85=10v+ +3v 85=13v+ Question 3 What is the best step to take next? What is the correct choice? Responses Add 20 to each side. Add 20 to each side. Subtract 13 from each side Subtract 13 from each side Subtract 20 from each side. Subtract 20 from each side. Divide each side by 13. Divide each side by 13. Question 4 Finish solving the equation. Enter your responses in the boxes below. 85=13v+20 =13v =v

Answer 1

Starting with the equation 85=5(2v+4)+3v, distribute 5 and then combine like terms to get 85=13v+20. Subtract 20 from each side and simplify to get 65=13v. Finally, solve for v by dividing both sides by 13, yielding v=5.

Step-by-step explanation:

To solve the equation 85=5(2v+4)+3v for v, the best first step is to distribute 5 through the parentheses. This yields:

85 = 10v + 20 + 3v

Next, we combine like terms:

85 = 13v + 20

The best next step is to subtract 20 from each side to isolate the term with v:

65 = 13v

Finally, divide each side by 13 to solve for v:

v = 5