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Look at the Example. How do you know that (-3/4)(-8a)+(-3/4)(-12) is equivalent to both -3/4(-8a-12) and 6a+9?
PLEASE HELP I WILL GIVE BRAINLIEST.

Look at the Example. How do you know that (-3/4)(-8a)+(-3/4)(-12) is equivalent to both -3/4(-8a-12) and 6a+9? PLEASE HELP I WILL GIVE BRAINLIEST. class=

Answer :

Step-by-step explanation:

To solve the problem [tex]-\frac{3}{4} (-8a-12)[/tex]

we first use the distributive property, which means to multiply everything on the inside with the outside number on the left.

so [tex]-\frac{3}{4} * -8a, -\frac{3}{4} *-12[/tex]

This would equal

[tex]6a+9[/tex]

its pretty simple.

what may be confusing is the fraciton multiplication

to solve this we convert the -8 and -12 into a fraction. This would be

[tex]-\frac{8}{1} and-\frac{12}{1}[/tex]

and multiplying fractions is easy, u just do it straight across.

so 3 times 8 is 24 so this would be 24/4

and 24/4 simplified is 6

and 3 times 12 is 36

so it would be 36/4

this would equal 9 simplified

and since we are just multiplying all negative numbers here they all turn out to be positive numbers because you should know.  a negative times a negative equals a positive.

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