Question

solve for v.
8v - 2v = 30
simplify your answer as much as possible.
v =
(there are some interface elements like fraction button, exponent button, undo and clear buttons shown but not relevant to the equation text.)

Explanation:

Step1: Combine like terms

First, we combine the terms with \( v \) on the left side of the equation. The equation is \( 8v - 2v = 30 \). Combining \( 8v \) and \( -2v \) gives \( (8 - 2)v = 6v \), so the equation simplifies to \( 6v = 30 \).

Step2: Solve for \( v \)

To solve for \( v \), we divide both sides of the equation \( 6v = 30 \) by 6. This gives \( v=\frac{30}{6} \). Calculating the right side, \( \frac{30}{6}=5 \).

Answer:

\( v = 5 \)