Question

Solve for v 8=4v+6(v-2) simplify your answer as much as possible

Answer 1

v = 8/5

Explanation:

Our task is to solve for v in the equation:

`\sf{8=4v+6(v-2)}`

`\sf{8=4v+6v-8}`

`\sf{8=10v-8}`

`\sf{10v-8=8}`

`\sf{10v=16}`

`\sf{v=\cfrac{16}{10}}`

`\sf{v=\cfrac{8}{5}}`

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Answer 2

Answer: v=2

Explanation:

8=4v+6(v-2)

From this, distribute v-2 by muliplying both terms (v and -2) by 6.

8=4v+6v-12

Then, combine like terms.

8=10v-12

4v and 6v are able to combine because they both share the same variable.

Then from this, add 12 on both sides.

20=10v

Lastly, divide by 10 on both sides, and you will get your answer.

v=2

If you are unsure of your answer, substitute v by using 2 instead in the original equation.