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Answer:

[tex]2s+\left(-4s\right)=-2s[/tex] is the equivalent expression as [tex]2s+\left(-4s\right)[/tex] is equal to [tex]-2s[/tex].

Step-by-step explanation:

Considering the expression

[tex]2s+\left(-4s\right)[/tex]

As we know that

  • Like terms are said to be the terms which hold the same variables raised to the same power.
  • For example, [tex]3x[/tex] and [tex]2x[/tex] are like terms as they contain the same variable [tex]x[/tex] raised to the same power.

Lets solve the expression

[tex]2s+\left(-4s\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]2s-4s[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:2s-4s=-2s[/tex]

[tex]-2s[/tex]

Therefore,

[tex]2s+\left(-4s\right)=-2s[/tex] is the equivalent expression as [tex]2s+\left(-4s\right)[/tex] is equal to [tex]-2s[/tex].

Keywords: equivalent expression, like terms

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