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Chapter 2: Q. 571 (page 295)

In the following exercises, solve the following equations with variables and constants on both sides

58c-4=38c+4

Short Answer

Expert verified

Thesimplifiedvalueisc=32

Step by step solution

01

Step 1. Given information

The given equation is58c-4=38c+4

We have to solve the given equaton.

02

Step 2. Explanation

Solve:58c-4=38c+4鈬�58c-38c-4=38c-38c+4(Subtract38cfromboththesides)鈬�58c-38c-4=4(Simplify)鈬�58c-38c-4+4=4+4(Add4toboththesides)鈬�58c-38c=8(Simplify)鈬�5c鈭�3c8=8(TakeLCD)鈬�2c8=8(Simplify)鈬�2c8脳8=8脳8(Multiplybothsideby8)鈬�2c=64(Simplify)鈬�2c2=642(Dividebothsidesby2)鈬�c=32(Simplify)Thesimplifiedvalueisc=32

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Translateandsolve:Thedifferenceof7aand6ais-8.
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