Question

simplify the expression $-3.7 + 5g + 4k + 11.1 - 10g$.
$(\square - 10g) + 4k + (\square + 11.1)$
$= \square + 4k + \square$
the simplified expression is $\square$.

Explanation:

Step1: Group like terms (g terms and constant terms)

We have the expression \(-3.7 + 5g + 4k + 11.1 - 10g\). Group the \(g\) terms: \(5g - 10g\) and the constant terms: \(-3.7 + 11.1\), and the \(k\) term remains as \(4k\). So the first box for the \(g\) terms group is \(5g\) (since we have \(5g - 10g\)) and the second box for the constant terms group is \(-3.7\) (since we have \(-3.7 + 11.1\)).

Step2: Combine \(g\) terms

Combine \(5g - 10g\). Using the rule of combining like terms (subtract coefficients), \(5g-10g=(5 - 10)g=- 5g\).

Step3: Combine constant terms

Combine \(-3.7+11.1\). \( - 3.7+11.1 = 7.4\).

Step4: Write the simplified expression

Now, putting it all together, we have \(-5g+4k + 7.4\) (or \(4k-5g + 7.4\) but usually written with like terms grouped as \(-5g+4k + 7.4\)).

Filling in the boxes:
First box (in \((\square - 10g)\)): \(5g\)
Second box (in \((\square + 11.1)\)): \(-3.7\)
Third box (after combining \(g\) terms): \(-5g\)
Fourth box (after combining constant terms): \(7.4\)
The simplified expression is \(-5g + 4k+7.4\) (or \(4k - 5g+7.4\))

Answer:

First box: \(5g\), Second box: \(-3.7\), Third box: \(-5g\), Fourth box: \(7.4\), Simplified expression: \(-5g + 4k + 7.4\)