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Found in: Page 133


Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Solve the equation. Check your solution.


The solution for the equation 14a-93=49-57a is a=2.

See the step by step solution

Step by Step Solution

Step 1 – Separate the variable and constants

Write the original equation and separate the variable and constants.

14a93=4957a14a+57a93=4957a+57a add 57a to both sides71a93=49 simplify71a93+93=49+93 add 93 to both sides71a=142 simplify

Step 2 – Solve for a

Now, divide both sides of the equation by 71.


Therefore, the solution of the equation is a=2.

Step 3 – Check the solution 

To check the solution, write the original equation and substitute the value of a.


Now, substitute a=2 and check the result.


As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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