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Solve:6(p-3)-7=5(4p+3)-12.

Short Answer

Expert verified

The solution is p=-2.

Step by step solution

01

Step 1. Given information.

Solve the below linear equation,

6(p-3)-7=5(4p+3)-12.

02

Step 2. Use the Distributive Property to remove any parentheses. 

Combine like terms and simplify.

6(p-3)-7=5(4p+3)-126·p-6·3-7=5·4p+5·3-126p-18-7=20p+15-126p-25=20p+36p-20p-25=20p+3-20p-14p-25=3-14p-25+25=3+25-14p=28-14p14=2814-p=2p=-2

03

Step 3. Check the solution.

Put p=-2into the equation.

6(p-3)-7=5(4p+3)-126(-2-3)-7=5(4·(-2)+3)-126(-5)-7=5(-8+3)-12-30-7=5·(-5)-12-37=-25-12-37=-37

Hence, the solution is correct.

04

Step 4. Conclusion.

The solution of the given linear equation isp=-2.

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