Hey there!
In this algebraic equation, our goal is to isolate w. Therefore, we have to move everything else to the other side by using the property of equality. This states that:
Everything we do to one side, we must also do to the other side.
Therefore, to isolate w, we must subtract 163 from both sides:
233-163 = 163-163-w Subtract 163 from both sides to cancel out 163
233-163 = -w Simplify
70 = -w Subtract
70(-1) = -w(-1) Multiply both sides by -1 to make w positive.
-70 = w
Check:
233 = 163 - (-70) Plug numbers back in
233 = 163 + 70 Simplify- negative plus negative is positive
233 = 233 Solve
Therefore, we're correct.
Hope this helps!