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Combine like terms to create an equivalent expression. 7.4z−5(−1.6z+2.4)

7.4z−5(−1.6z+2.4)7, point, 4, z, minus, 5, left parenthesis, minus, 1, point, 6, z, plus, 2, point, 4, right parenthesis

Respuesta :

luisejr77

Answer:   [tex]15.4z-12[/tex]

Step-by-step explanation:

For this exercise it is important to remember:

  • The Distributive property:

       [tex]a(b\±c)=ab\±ac[/tex]

  • The multiplication of signs:

        [tex](+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-[/tex]

Then, given the following expression:

[tex]7.4z−5(-1.6z+2.4)[/tex]

You need to  apply the Distributive property. Then:

[tex]=7.4z+8z-12[/tex]

Now you can combine like terms (or add the like terms). Then you get:

[tex]=15.4z-12[/tex]

Therefore, the equivalent expression created by combining like terms, is:

 [tex]15.4z-12[/tex]

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