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

Question

asked Nov 14, 2023 230k views

1 Answer

Antti · Answer 1 · 2023-11-17T14:18:58+0000

Answer:

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

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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