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Mathematics 18 Online
OpenStudy (anonymous):

-3(2z-8)+10z=16

OpenStudy (anonymous):

Ready to work on this together?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Beautiful. First thing you want to do is get rid of those parentheses. How do we legally do this?

OpenStudy (anonymous):

distribute

OpenStudy (anonymous):

Yup! Let's do that. What do we get?

OpenStudy (anonymous):

-6z--24+10z=16

OpenStudy (anonymous):

Perfect. And what does the --24 turn into?

OpenStudy (anonymous):

negative 24

OpenStudy (anonymous):

Remember, you're *subtracting* a negative 24. What happens when you subtract a negative number?

OpenStudy (anonymous):

you add both and keep same sign

OpenStudy (anonymous):

Well, you're actually changing it to a positive. For example: 4 --24 would turn into 4+24

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

-6z--24+10z=16 would simplify into -6z + 24 + 10z = 16 Does that make sense?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Awesome. Now what is the next step to simplifying the left side?

OpenStudy (anonymous):

umm you add -6z and 10z

OpenStudy (anonymous):

Yup! I'm ssorry for the late reply; lost your question somehow. lol What do we get?

OpenStudy (anonymous):

-3(2z-8)+10z=16 -6z + 24 + 10z = 16 4z + 24 = 16 4z = -8 Do those steps make sense so far?

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