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Consider the equation 5/3v + 4 + 1/3v = 8. What is the resulting equation after the first step in the solution?

A; 5/3v+4=8-1/3v

B; 4/3v+4=8

C; 4+v=8-5/3v

D; 2v+4=8

Verified Answer :

ans4

The answer is D;2v+4=8

The resulting equation after the first step in the solution is option (D) 2v+4 = 8 is the correct answer.

What is simplification of an equation?

Simplification of an equation is the process of writing an expression in the most efficient and compact form without affecting the value of the original equation. It involves, multiply out the brackets and then simplify the resulting equation by collecting the like terms.

For the given situation,

The equation 5/3 v + 4 + 1/3 v = 8

⇒ \(\frac{5}{3}v+4+\frac{1}{3}v=8\)

⇒ \(\frac{5}{3}v+\frac{1}{3}v+4=8\)

⇒ \(\frac{6}{3}v+4=8\)

⇒ \(2v+4=8\)

Hence we can conclude that the resulting equation after the first step in the solution is option (D) 2v+4 = 8 is the correct answer.

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