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Find the value of the variable.

2p+5=13

Short Answer

Expert verified

The value of the variable is p=4.

Step by step solution

01

Step 1. Subtract 5.

To find the value of variable p in the equation 2p+5=13, subtract 5 from both sides of the equation.

2p+5−5=13−5

02

Step 2. Simplify the equation.

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

2p+5−5=13−52p=8

03

Step 3. Divide by 2.

To find the value of the variable p in the equation 2p=8, divide both sides of the equation by 2.

2p2=82

04

Step 4. Simplify the equation.

To further simplify, cancel the common factors of 2 on both sides.

2p2=2×42p=4

05

Step 5. Verify the value.

In order to verify the value of p, substitute 4 for p into the equation 2p+5=13.

2×4+5=138+5=1313=13True

Hence, the value of the variable is p=4.

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