Solve for w |w-3|=40

Math
|w-3|=40
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
w-3=±40
Set up the positive portion of the ± solution.
w-3=40
Move all terms not containing w to the right side of the equation.
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Add 3 to both sides of the equation.
w=40+3
Add 40 and 3.
w=43
w=43
Set up the negative portion of the ± solution.
w-3=-40
Move all terms not containing w to the right side of the equation.
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Add 3 to both sides of the equation.
w=-40+3
Add -40 and 3.
w=-37
w=-37
The solution to the equation includes both the positive and negative portions of the solution.
w=43,-37
Solve for w |w-3|=40

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