To solve for [tex]\( w \)[/tex] in the equation [tex]\( 57 = 4w - 11 \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
57 = 4w - 11
\][/tex]
2. Add 11 to both sides of the equation to isolate the term with [tex]\( w \)[/tex]:
[tex]\[
57 + 11 = 4w - 11 + 11
\][/tex]
3. Simplify the left side:
[tex]\[
68 = 4w
\][/tex]
4. To solve for [tex]\( w \)[/tex], divide both sides of the equation by 4:
[tex]\[
w = \frac{68}{4}
\][/tex]
5. Simplify the fraction:
[tex]\[
w = 17
\][/tex]
Therefore, the solution is:
[tex]\[
w = 17
\][/tex]
