Question

-2(2v + 11)+1 = -5(9v – 4)

Answer 1

Given the equation:

-2(2v + 11) + 1 = -5(9v - 4)

Let's solve the equation.

To solve the equation, take the following steps:

Step 1.

Apply distributive property on both sides of the equation:

-2(2v) - 2(11) + 1 = -5(9v) - 5(-4)

-4v - 22 + 1 = -45v + 20

Step 2.

Combine like terms:

-4v - 21 = -45v + 20

Step 3.

Add 21 to both sides of the equation:

-4v - 21 + 21 = -45v + 20 + 21

-4v = -45v + 41

Step 4.

Add 45v to both sides of the equation

-4v + 45v = -45v + 45v + 41

41v = 41

Step 5.

Divide both sides by 41

`\begin{gathered} (41v)/(41)=(41)/(41) \\ \\ v=1 \end{gathered}`

ANSWER:

v = 1