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Chapter 2: Q.18. (page 111)

Solve the linear equation92m-3-8=4m+7.

Short Answer

Expert verified

The solution ism=3.

Step by step solution

01

Step 1. Given information.

The given equation is92m-3-8=4m+7.

02

Step 2. Apply the distributive property to simplify the equation ab+c=ab+ac.

Simplify each side of the equation.

92m-3-8=4m+79脳2m-9脳3-8=4m+718m-27-8=4m+718m-35=4m+7

03

Step 3. Collect all variable terms on one side of the equation.

Subtract 4mfrom each side.

18m-35-4m=4m+7-4m14m-35=7

04

Step 4. Collect all constant terms on other side of the equation and then simplify.

Add 35to each side.

14m-35+35=7+3514m=42

Divide by 14on both sides.

14m14=4214m=3

Hence, the solution of the given equation ism=3.

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