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91Ó°ÊÓ

In the following exercise, solve each equation with fraction coefficients .

14m-45m+12m=-1

Short Answer

Expert verified

Thesolutionforthegivenequationism=20

Step by step solution

01

Step 1. Given information

The given equation is14m-45m+12m=-1

We have to solve the given equation.

02

Step 2. Explanation

Solve:14m-45m+12m=-1⇒14m-45m+12m=-1(FindtheLCDofallfractionsintheequation)TheLCDis20.⇒20×(14m-45m+12m)=20×(-1)(Muliplybothsidesoftheequationby20)⇒20×14m-20×45m+20×12m=-20(Distribute)⇒5m-16m+10m=-20(Simplify)⇒−1m=-20(Combinetheliketerms)⇒−1m−1=-20−1(Dividebothsidesby-1)⇒m=20Thesolutionforthegivenequationism=20

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