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
[tex]\begin{gathered} \frac{41v}{41}=\frac{41}{41} \\ \\ v=1 \end{gathered}[/tex]ANSWER:
v = 1
