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Find the value of the variable.

w−20+5w=28

Short Answer

Expert verified

The value of the variable is w=8.

Step by step solution

01

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms w and 5w.

w−20+5w=28w−20+5w=286w−20=28

02

Step 2. Add 20.

To find the value of variable w in the equation 6w−20=28, add 20 on both sides of the equation.

6w−20+20=28+206w=48

03

Step 3. Divide by 6.

Divide both sides of the equation 6w=48by 6 and cancel the common factors of 6 on both sides.

6w6=486w=6×86w=8

04

Step 4. Verify the value.

In order to verify the value of w, substitute 8 for w into the equation w−20+5w=28.

8−20+5×8=28−12+40=2828=28True

Hence, the value of the variable is w=8.

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