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91Ó°ÊÓ

In the following exercise, solve each equation requiring simplification.

512q+12q=25−3

Short Answer

Expert verified

On simplifying, we getq=24.

Step by step solution

01

Step 1. Given information

Thegivenequationis512q+12q=25−3.Wehavetosimplifythegivenequation.

02

Step 2. Simplify

Now,⇒512q+12q=25−3⇒512+12q=22Simplifyeachside⇒5⋅2+1⋅1212⋅2q=22⇒10+1212⋅2q=22⇒2212⋅2q=22⇒2×1112⋅2q=22⇒1211×11q12=1211×22Multiplybothsidesby1112⇒q=24

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