Certainly! Let's carefully distribute the negative sign outside the parentheses and simplify the given expression step by step.
We start with the expression:
[tex]\[
-(1.4 f - 4 g) - 6.5
\][/tex]
### Step 1: Distribute the Negative Sign
First, we'll distribute the negative sign [tex]\("-"\)[/tex] across the terms inside the parentheses:
[tex]\[
-(1.4 f) - (-4 g) = -1.4 f + 4 g
\][/tex]
Notice how the negative sign changes the signs of the terms inside the parentheses.
### Step 2: Combine the Distributed Terms with the Remaining Term
Now, we need to include the [tex]\(-6.5\)[/tex] that is outside the parentheses:
[tex]\[
-1.4 f + 4 g - 6.5
\][/tex]
### Final Expression
So, the equivalent expression after distributing the negative sign is:
[tex]\[
-1.4 f + 4 g - 6.5
\][/tex]
This is the simplified and equivalent form of the given expression.
