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Chapter 2: Q.26. (page 111)

Solve the linear equation59-26d-1=114-10d-139.

Short Answer

Expert verified

The solution isd=-3.

Step by step solution

01

Step 1. Given information.

The given equation is59-26d-1=114-10d-139.

02

Step 2. Simplify inner most parenthesis first

59-26d-1=114-10d-13959-12d+2=114-10d-139

Combine like terms in the braces.

59+2-12d=114-10d-139511-12d=114-10d-139

03

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

Simplify each side of the equation.

5脳11-5脳12d=11脳4-11脳10d-13955-60d=44-110d-13955-60d=-110d-95

04

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

Add 110dto each side.

55-60d+110d=-110d-95+110d55+50d=-95

05

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

Subtract 55from each side.

55+50d-55=-95-5550d=-150

Divide each side by 50.

50d50=-15050d=-3

Hence, the required solution of the given equation isd=-3.

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