Solve for w. 7 + w = 6

Question image

Understand the Problem

The question is asking to solve the equation 7 + w = 6 for the variable w. This involves isolating w on one side of the equation.

Answer

The solution for \( w \) is $$ w = -1 $$
Answer for screen readers

The value of ( w ) is

$$ w = -1 $$

Steps to Solve

  1. Isolate w on one side

To isolate ( w ), we need to get rid of the 7 on the left side of the equation. We can do this by subtracting 7 from both sides.

$$ 7 + w - 7 = 6 - 7 $$

  1. Simplify the equation

Now, we simplify both sides of the equation.

$$ w = 6 - 7 $$

  1. Calculate the final value of w

Now, we compute the right side:

$$ w = -1 $$

The value of ( w ) is

$$ w = -1 $$

More Information

The equation represents a simple linear relationship. By isolating the variable, we find that ( w ) must equal -1 to satisfy the equation. This process of balancing both sides of the equation is fundamental in algebra.

Tips

  • Forgetting to subtract from both sides: Ensure any operation done on one side is done on the other side equally.
  • Not simplifying properly: Always double-check your calculations to avoid errors in the final answer.
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