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Chapter 1: Q24 (page 10)

Find the value of the variable.

4p+2=22

Short Answer

Expert verified

The value of the variable is p=5.

Step by step solution

01

Step 1. Subtract 2.

To find the value of the variable p in the equation 4p+2=22, subtract 2 from both sides of the equation.

4p+2鈭�2=22鈭�2

02

Step 2. Simplify the equation.

To simplify, remove all the brackets and combine the like terms.

4p+2鈭�2=22鈭�24p=20

03

Step 3. Divide by 4.

To find the value of variable p in the equation 4p=20, divide both sides of the equation by 4.

4p4=204

04

Step 4. Simplify the equation.

To further simplify, cancel the common factors of 4 on both sides.

4p4=4脳54p=5

05

Step 5. Verify the value.

In order to verify the value of p, substitute 5 for into the equation 4p+2=22.

4脳5+2=2220+2=2222=22True

Hence, the value of the variable is p=5.

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