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Chapter 2: Q.23. (page 111)

Solve the linear equation4p-4-p+7=5p-3.

Short Answer

Expert verified

The solution isp=-4.

Step by step solution

01

Step 1. Given information.

The given equation is4p-4-p+7=5p-3.

02

Step 2. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

4p-4脳4-p-7=5p-5脳34p-16-p-7=5p-153p-23=5p-15

03

Step 3. Collect all variables terms on other side of the equation.

Subtract 5pfrom each side.

3p-23-5p=5p-15-5p-2p-23=-15

04

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

Add 23to each side.

-2p-23+23=-15+23-2p=8

Divide each side by -2.

-2p-2=8-2p=-4

Hence, the solution of the given equation isp=-4.

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