Answer :

Sure! Let's solve the equation step-by-step.

We are given the equation:

[tex]\[
-10.1 = w + 5.3
\][/tex]

To solve for [tex]\( w \)[/tex], we need to isolate it on one side of the equation. Here's how we can do that:

1. Subtract 5.3 from both sides of the equation to eliminate the +5.3 on the right side. This helps us to get [tex]\( w \)[/tex] by itself.

[tex]\[
-10.1 - 5.3 = w + 5.3 - 5.3
\][/tex]

2. Simplify both sides. On the right side, the +5.3 and -5.3 will cancel each other out, leaving just [tex]\( w \)[/tex].

[tex]\[
-10.1 - 5.3 = w
\][/tex]

3. Calculate the left side by performing the subtraction:

[tex]\[
-10.1 - 5.3 = -15.4
\][/tex]

So, the solution is:

[tex]\[
w = -15.4
\][/tex]