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Andrei [34K]
3 years ago
10

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

Mathematics
2 answers:
goblinko [34]3 years ago
8 0

\boxed{c = -4}

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.

SashulF [63]3 years ago
4 0

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------

<h2>Answer: \boxed{c = -4}</h2><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2>

4(5-8(4c-3))=12(1-13c)-8

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

4(5-32c+24)=12(1-13c)-8

Add 5 and 24 to get 29.

4(29 - 32c)=12(1-13c)-8

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

116-128c=12(1-13c)-8

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

116-128c=12-156c-8

Subtract 8 from 12 to get 4.

116-128c=4-156c

Add 156c to both sides.

116 - 128c+156c=4

Combine −128c and 156c to get 28c.

116+28c=4

Subtract 116 from both sides.

28c=4-116

Subtract 116 from 4 to get −112.

28c=-112

Divide both sides by 28.

c=\frac{-112}{28}

<h2>Divide −112 by 28 to get, you guessed it, -4!</h2>
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