How do you solve \( 15 - \frac{w}{4} = 28 \)?

If an explanation is possible, please include one so I can figure out similar equations like this one.

15 - w/4 = 28.
Our goal is to find the variable by itself. First, reverse the equation to cancel itself out. Use the Multiplication and Addition Property of Equality.
So do +15 to cancel 15 out.
Add the 15 to 28, which equals 43.
Do x4, to cancel 4 out.
43 x 4 = 172.
w will equal 172.
15 - 172/4 = 28.

Answered by TacoGod | 2024-06-10

The solution of the given **expression **15 - w/4 = 28 is w = -52
The given expression is,
15 - w/4 = 28.
Start by **multiplying **both sides of the equation by 4 to **eliminate **the fraction :
⇒ 4(15 - w/4) = 4(28)
⇒ 60 - w = 112
**Isolate **w by **subtracting **60 from both sides:
60 - w = 112
-w = 52
Finally, solve for w by **dividing **both sides by -1:
w = -52
Therefore,
The solution to the **equation **15 - w/4 = 28 is w = -52.
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Answered by ankitvt811 | 2024-06-17

To solve the equation 15 − 4 w ​ = 28 , isolate w by moving 15 to the other side, changing signs as necessary, and multiplying to eliminate the fraction. This leads to w = − 52 , which can be verified by substituting back into the equation. Therefore, the solution is confirmed as correct.
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Answered by TacoGod | 2024-10-02