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Chapter 2: Q.25. (page 111)

Solve the linear equation45-84c-3=121-13c-8.

Short Answer

Expert verified

The solution isc=-4.

Step by step solution

01

Step 1. Given information.

The given equation is45-84c-3=121-13c-8.

02

Step 2. Simplify the inner most parenthesis first.

45-84c-3=121-13c-845-32c+24=121-13c-845+24-32c=121-13c-8429-32c=121-13c-8

03

Step 3. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

4脳29-4脳32c=12脳1-12脳13c-8116-128c=12-156c-8-128c+116=-156c+4

04

Step 4. Collect all variables terms on other side of the equation.

Add 156cto each side.

-128c+116+156c=-156c+4+156c28c+116=4

05

Step 5. Collect all constant terms on other side of the equation and then simplify.

Subtract 116from each side.

28c+116-116=4-11628c=-112

Divide each side by 28.

28c28=-11228c=-4

Hence, the required solution is c=-4.

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