Answer :
To solve the equation [tex]\(169 = -w + 83\)[/tex] for [tex]\(w\)[/tex], we can follow these steps:
1. Isolate the variable term: Start by getting the term with [tex]\(w\)[/tex] on one side by itself. To do this, subtract 83 from both sides of the equation to remove the constant term from the right side.
[tex]\[
169 - 83 = -w
\][/tex]
2. Calculate the left-hand side: Subtracting the numbers on the left gives:
[tex]\[
86 = -w
\][/tex]
3. Solve for [tex]\(w\)[/tex]: To isolate [tex]\(w\)[/tex], we need to get rid of the negative sign in front of [tex]\(w\)[/tex]. Multiply both sides of the equation by -1:
[tex]\[
-86 = w
\][/tex]
So, the solution is [tex]\(w = -86\)[/tex].
1. Isolate the variable term: Start by getting the term with [tex]\(w\)[/tex] on one side by itself. To do this, subtract 83 from both sides of the equation to remove the constant term from the right side.
[tex]\[
169 - 83 = -w
\][/tex]
2. Calculate the left-hand side: Subtracting the numbers on the left gives:
[tex]\[
86 = -w
\][/tex]
3. Solve for [tex]\(w\)[/tex]: To isolate [tex]\(w\)[/tex], we need to get rid of the negative sign in front of [tex]\(w\)[/tex]. Multiply both sides of the equation by -1:
[tex]\[
-86 = w
\][/tex]
So, the solution is [tex]\(w = -86\)[/tex].
