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In the following exercises, solve each equation with decimal coefficients.

0.6p−1.9=0.78p+1.7

Short Answer

Expert verified

Thesimplifiedvalueisp=−20

Step by step solution

01

Step 1. Given information

The given equation is 0.6p−1.9=0.78p+1.7

We have to solve the givne equation.

02

Step 2. Explanation

Solve:0.6p−1.9=0.78p+1.7⇒100(0.6p−1.9)=100(0.78p+1.7)(MultiplybytheLCD,100)⇒100×0.6p−100×1.9=100×0.78p+100×1.7(Distribute)⇒60p−190=78p+170(Multiply)⇒60p−60p−190=78p−60p+170(Subtract60pfrombothsides)⇒−190=18p+170(Simplify)⇒−190−170=18p+70−70(Subtract70frombothsides)⇒−360=18p(Simplify)⇒−36018=1818p(Dividebothsidesby18)⇒−20=p(Simplify)Thesimplifiedvalueisp=−20

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