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Chapter 2: Q.27. (page 111)

Solve the linear equation3-9+84h-3=25-12h-19.

Short Answer

Expert verified

The solution ish=34.

Step by step solution

01

Step 1. Given information.

The given equation is3-9+84h-3=25-12h-19.

02

Step 2. Simplify inner most parenthesis first.

3-9+84h-3=25-12h-193-9+32h-24=25-12h-19

Combine like terms in the braces.

3-9-24+32h=25-12h-193-33+32h=25-12h-19

03

Step 3. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

3脳32h-3脳33=2脳5-2脳12h-1996h-99=10-24h-1996h-99=-24h-9

04

Step 4. Collect all variables terms on other side of the equation.

Add 24hto each side.

96h-99+24h=-24h-9+24h120h-99=-9

05

120Step 5. Collect all constant terms on other side of the equation and then simplify.

Add 99to each side.

120h-99+99=-9+99120h=90

Divide each side by 120.

120h120=90120h=34

Hence, the required solution of the given equation ish=34.

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