The resulting equation after the first step in the solution is option (D) 2v+4 = 8 is the correct answer.
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
⇒ [tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]
⇒ [tex]\frac{5}{3}v+\frac{1}{3}v+4=8[/tex]
⇒ [tex]\frac{6}{3}v+4=8[/tex]
⇒ [tex]2v+4=8[/tex]
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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