Question

solve for v.
5v + 6 = 16v - 3v + 54
simplify your answer as much as possible.

Explanation:

Step1: Combine like - terms on the right side

On the right side, $16v - 3v=13v$, so the equation becomes $5v + 6 = 13v+54$.

Step2: Move variable terms to one side

Subtract $5v$ from both sides: $5v - 5v+6 = 13v - 5v+54$, which simplifies to $6 = 8v+54$.

Step3: Move constant terms to one side

Subtract 54 from both sides: $6 - 54 = 8v+54 - 54$, resulting in $- 48 = 8v$.

Step4: Solve for v

Divide both sides by 8: $\frac{-48}{8}=\frac{8v}{8}$, so $v=-6$.

Answer:

$v = - 6$