To solve the equation for [tex]\( w \)[/tex] in
[tex]\[
\frac{w}{1.4} - 3.7 = 6.5,
\][/tex]
follow these steps:
1. Isolate the fraction involving [tex]\( w \)[/tex]:
[tex]\[
\frac{w}{1.4} - 3.7 + 3.7 = 6.5 + 3.7
\][/tex]
Simplifying both sides, we get:
[tex]\[
\frac{w}{1.4} = 10.2.
\][/tex]
2. Solve for [tex]\( w \)[/tex]:
To solve for [tex]\( w \)[/tex], multiply both sides of the equation by 1.4:
[tex]\[
w = 10.2 \times 1.4.
\][/tex]
When performing this multiplication, we get:
[tex]\[
w = 14.28.
\][/tex]
Hence, the value of [tex]\( w \)[/tex] is:
[tex]\[
\boxed{14.28}
\][/tex]
