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Find the value of the variable.

3u+u−2=10

Short Answer

Expert verified

The value of the variable is u=3.

Step by step solution

01

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms 3u and u.

3u+u−2=103u+u−2=104u−2=10

02

Step 2. Add 2.

To find the value of variable u in the equation 4u−2=10, add 2 on both sides of the equation.

4u−2+2=10+24u=12

03

Step 3. Divide by 4.

Divide both sides of the equation4u=12 by 4 and cancel the common factors of 4 on both sides.

4u4=124u=4×34u=3

04

Step 4. Verify the value.

In order to verify the value of u, substitute 3 for u into the equation 3u+u−2=10.

3×3+3−2=109+1=1010=10True

Hence, the value of the variable is u=3.

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