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Chapter 2: Q.24. (page 111)

Solve the linear equation3a-2-a+6=4a-1.

Short Answer

Expert verified

The solution isa=-4.

Step by step solution

01

Step 1. Given information.

The given equation is3a-2-a+6=4a-1.

02

Step 2. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

3a-3脳2-a-6=4a-4脳13a-6-a-6=4a-42a-12=4a-4

03

Step 3. Collect all variables terms on other side of the equation.

Subtract 4afrom each side.

2a-12-4a=4a-4-4a-2a-12=-4

04

a=-4Step 4. Collect all constant terms on other side of the equation and then simplify.

Add 12to each side.

-2a-12+12=-4+12-2a=8

Divide each side by -2.

-2a-2=8-2a=-4

Hence, the solution of the given equation isa=-4.

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