Question

Solve for v -31 = 3v + 9 - 8v

Answer 1

Answer:

v = 8

Explanation:

Given:

-31 = 3v + 9 - 8v

To find:

the value of v

To determine v, we will collect like terms:

$\begin{gathered} -31\text{ = 3v + 9 - 8v} \\ -31\text{ = 3v - 8v + 9} \\ -31\text{ = -5v + 9} \end{gathered}$

subtract 9 from both sides:

$\begin{gathered} -31\text{ - 9 = -5v + 9 - 9} \\ -40\text{ = -5v} \\ \\ divide\text{ both sides by -5:} \\ \frac{-40}{-5}\text{ = }\frac{-5v}{-5} \\ division\text{ of same signs give positive sign} \\ v\text{ = 8} \end{gathered}$