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Chapter 2: Q.28. (page 111)

Solve the linear equation 3-14+215k-6=83-5k-24.

Short Answer

Expert verified

The solution isk=35.

Step by step solution

01

Step 1. Given information.

The given equation is3-14+215k-6=83-5k-24.

02

Step 2. Simplify inner most parenthesis first

3-14+215k-6=83-5k-243-14+30k-12=83-5k-24

Combine like terms in the braces.

330k-26=83-5k-24

03

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

Simplify each side of the equation.

3脳30k-3脳26=8脳3-8脳5k-2490k-78=24-40k-2490k-78=-40k

04

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

Add 40kto each side.

90k-78+40k=-40k+40k130k-78=0

05

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

Add 78to each side.

130k-78+78=0+78130k=78

Divide each side by 130.

130k130=78130k=35

Hence, the required solution of the given equation isk=35.

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