Question

Solve for v:8(v-1)-4=4(2v-3)

Answer 1

We will have to solve the following equation:

`8(v-1)-4=4(2v-3)`

for the variable v. For doing so we will use the distributive property, and then we will clear out the variable.

Distributive property

When we use the distributive property, we multiply each value before a parenthesis by each of the terms inside it. Like we show:

`\begin{gathered} 8v-8-4=8v-12 \\ 8v-12=8v-12 \end{gathered}`

Clearing out and the last step

Now, we sum a 12 to both sides of the equation, and we divide by 8 to obtain:

`\begin{gathered} 8v-12+12=8v-12+12 \\ 8v+0=8v+0 \\ 8v=8v \\ v=v \end{gathered}`

What does this mean?

This means that every value of v is a solution of the equation, as every value of v is equal to itself (meets the above condition).