Solve for w in the equation w + (-4) = 37.
Understand the Problem
The question is asking to solve for the variable 'w' in the equation w + (-4) = 37. This involves isolating 'w' by manipulating the equation.
Answer
The value of \( w \) is \( 41 \).
Answer for screen readers
The value of ( w ) is ( 41 ).
Steps to Solve
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Understand the equation We start with the equation ( w + (-4) = 37 ).
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Simplify the equation Rewrite ( w + (-4) ) as ( w - 4 ): $$ w - 4 = 37 $$
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Isolate the variable ( w ) Add 4 to both sides of the equation to isolate ( w ): $$ w - 4 + 4 = 37 + 4 $$ This simplifies to: $$ w = 41 $$
The value of ( w ) is ( 41 ).
More Information
This means that if you add -4 to 41, you will get back to 37. The operation confirms that our solution is correct.
Tips
- Confusing ( -4 ) with ( +4 ) when adding to both sides.
- Forgetting to perform the same operation on both sides of the equation, which can lead to incorrect results.
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