Answer :
To solve the equation [tex]\(21 = -w + 193\)[/tex] for [tex]\(w\)[/tex], follow these step-by-step instructions:
1. Isolate the variable: We need to get [tex]\(w\)[/tex] by itself on one side of the equation. Start by eliminating the constant on the same side as [tex]\(w\)[/tex].
[tex]\[
21 = -w + 193
\][/tex]
Subtract 193 from both sides of the equation to move the 193 to the left side:
[tex]\[
21 - 193 = -w
\][/tex]
2. Simplify the left side: Perform the subtraction on the left side:
[tex]\[
21 - 193 = -172
\][/tex]
So the equation becomes:
[tex]\[
-172 = -w
\][/tex]
3. Solve for [tex]\(w\)[/tex]: Since the equation [tex]\(-172 = -w\)[/tex] involves a negative sign with [tex]\(w\)[/tex], we can eliminate the negative by negating both sides of the equation:
[tex]\[
w = 172
\][/tex]
Thus, the solution to the equation is:
[tex]\[
w = 172
\][/tex]
1. Isolate the variable: We need to get [tex]\(w\)[/tex] by itself on one side of the equation. Start by eliminating the constant on the same side as [tex]\(w\)[/tex].
[tex]\[
21 = -w + 193
\][/tex]
Subtract 193 from both sides of the equation to move the 193 to the left side:
[tex]\[
21 - 193 = -w
\][/tex]
2. Simplify the left side: Perform the subtraction on the left side:
[tex]\[
21 - 193 = -172
\][/tex]
So the equation becomes:
[tex]\[
-172 = -w
\][/tex]
3. Solve for [tex]\(w\)[/tex]: Since the equation [tex]\(-172 = -w\)[/tex] involves a negative sign with [tex]\(w\)[/tex], we can eliminate the negative by negating both sides of the equation:
[tex]\[
w = 172
\][/tex]
Thus, the solution to the equation is:
[tex]\[
w = 172
\][/tex]
