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Chapter 2: Q. 579 (page 295)

In the following exercises, solve each linear equation.

0.25q-8=0.1q+7

Short Answer

Expert verified

Thesimplifiedvalueisq=-4

Step by step solution

01

Step 1. Given information

The given equation is0.25q-8=0.1q+7

We have to solve the given equation.

02

Step 2. Explanation

Solve:0.25q-8=0.1q+7鈬�0.25q-0.25脳8=0.1脳q+0.1脳7(Distribute)鈬�0.25q-2=0.1q+0.7(Simplify)鈬�0.25q-0.25鈭�0.7-2=0.1q鈭�0.25q鈭�0.7(Subtract0.25qfrombothsides)鈬�鈭�0.7-2=-0.15q鈭�0.7(Simplify)鈬�鈭�0.7-2+2=-0.15q鈭�0.7+2(Add2bothsides)鈬�鈭�0.7=-0.15q鈭�1.3(Simplify)鈬�鈭�0.7+1.3=-0.15q鈭�1.3+1.3(Add1.3tobothsides)鈬�0.6=-0.15q(Simplify)鈬�0.6鈭�0.15=-0.15鈭�0.15q(Dividebothsideby-0.15)鈬�鈭�4=q(Simplify)Thesimplifiedvalueisq=-4

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