Answer :

OceanSong

[tex]\boxed{c = -4}[/tex]

First, we will use the distributive property (order of operations) to simplify the equation:

(4)(5) + (4)(−8(4c−3)) = (12)(1) + (12)(−13c)+ (−8) =

20 + (−128c) + 96 = 12 + (−156c)+ (−8)

Now, we will combine like terms to simplify the equation:

(−128c) + (20 + 96) = (−156c) + (12+ (−8) =

−128c + 116 = −156c + 4

Now we will add 156 to both sides, using inverse operations.

−128c + 116 + 156c = −156c + 4 + 156c =

28c + 116 = 4

Now we will subtract 116 from both sides:

28c + 116 − 116 = 4 − 116 =

28c = −112

Lastly, we will divide both sides by 28:

28c/28 = c

-112/28 = -4

The equation now looks like:

c = -4

Therefore, your answer is -4.

Pcupcake

Hi there! Hopefully this helps!

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Answer: [tex]\boxed{c = -4}[/tex]

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[tex]4(5-8(4c-3))=12(1-13c)-8[/tex]

Use the distributive property to multiply −8 by 4c − 3.

[tex]4(5-32c+24)=12(1-13c)-8[/tex]

Add 5 and 24 to get 29.

[tex]4(29 - 32c)=12(1-13c)-8[/tex]

Use the distributive property to multiply 4 by 29 − 32c.

[tex]116-128c=12(1-13c)-8[/tex]

Use the distributive property to multiply 12 by 1 − 13c.

[tex]116-128c=12-156c-8[/tex]

Subtract 8 from 12 to get 4.

[tex]116-128c=4-156c[/tex]

Add 156c to both sides.

[tex]116 - 128c+156c=4[/tex]

Combine −128c and 156c to get 28c.

[tex]116+28c=4[/tex]

Subtract 116 from both sides.

[tex]28c=4-116[/tex]

Subtract 116 from 4 to get −112.

[tex]28c=-112[/tex]

Divide both sides by 28.

[tex]c=\frac{-112}{28}[/tex]

Divide −112 by 28 to get, you guessed it, -4!

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