Question

Solve for v.
3.8(v – 12.3) - 6.34 = 7.72
V =

Answer 1

`\boxed{\underline{\bf v=16}}`

Explanation:

`\tt 3.8\left(v-12.3\right)-6.34=7.72`

Simplify both sides of the equation:-

`\tt 3.8(v-12.3)-6.34=7.72`

Distribute:-

`\tt (3.8)(v)+(3.8)(-12.3)+-6.34=7.72`

`\tt 3.8v+-46.74+-6.34=7.72`

Combine Like Terms:-

`\tt (3.8v)+(-46.74+-6.34)=7.72`

`\tt 3.8v+-53.08=7.72`

`\tt 3.8v-53.08=7.72`

Add 53.08 to both sides:-

`\tt 3.8v-53.08+53.08=7.72+53.08`

`\tt 3.8v=60.8`

Divide both sides by 3.8:-

`\tt \cfrac{3.8v}{3.8}=\cfrac{60.8}{3.8}`

`\tt v=16`

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Hope this helps!

Have a great day!