Questions: 10-2v=-5v-50

Solution Steps

To solve the equation $10 - 2v = -5(v - 50)$, we need to follow these steps:

1. Distribute the $-5$ on the right-hand side.
2. Combine like terms to isolate $v$ on one side of the equation.
3. Solve for $v$.

We are given the equation: $$10 - 2v = -5v - 50$$ Our goal is to solve for $v$.

First, we need to get all the $v$ terms on one side and the constant terms on the other side. Let's add $5v$ to both sides of the equation: $$10 - 2v + 5v = -5v + 5v - 50$$ This simplifies to: $$10 + 3v = -50$$

Next, we need to isolate $v$. Subtract 10 from both sides: $$10 + 3v - 10 = -50 - 10$$ This simplifies to: $$3v = -60$$

Now, divide both sides by 3 to solve for $v$: $$v = \frac{-60}{3}$$ $$v = -20$$

Final Answer