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Answer :
We start with the equation:
[tex]$$4(3s-6)=24.$$[/tex]
Step 1. Using the Distributive Property
Multiply [tex]$4$[/tex] by each term inside the parenthesis:
[tex]$$4(3s-6)=4\cdot3s-4\cdot6=12s-24.$$[/tex]
The equation now is:
[tex]$$12s-24=24.$$[/tex]
Step 2. Isolating the Variable Term
Add [tex]$24$[/tex] to both sides to cancel the [tex]$-24$[/tex] on the left:
[tex]$$12s-24+24=24+24.$$[/tex]
This simplifies to:
[tex]$$12s=48.$$[/tex]
Step 3. Solving for [tex]$s$[/tex]
Divide both sides by [tex]$12$[/tex]:
[tex]$$\frac{12s}{12}=\frac{48}{12}.$$[/tex]
Thus, we obtain:
[tex]$$s=4.$$[/tex]
Both the step involving the distributive property and the step of adding [tex]$24$[/tex] to both sides are essential parts of solving this equation. Therefore, there is no step among the given options that is not part of the solution process.
The final result is that [tex]$0$[/tex] of these steps are extraneous.
[tex]$$4(3s-6)=24.$$[/tex]
Step 1. Using the Distributive Property
Multiply [tex]$4$[/tex] by each term inside the parenthesis:
[tex]$$4(3s-6)=4\cdot3s-4\cdot6=12s-24.$$[/tex]
The equation now is:
[tex]$$12s-24=24.$$[/tex]
Step 2. Isolating the Variable Term
Add [tex]$24$[/tex] to both sides to cancel the [tex]$-24$[/tex] on the left:
[tex]$$12s-24+24=24+24.$$[/tex]
This simplifies to:
[tex]$$12s=48.$$[/tex]
Step 3. Solving for [tex]$s$[/tex]
Divide both sides by [tex]$12$[/tex]:
[tex]$$\frac{12s}{12}=\frac{48}{12}.$$[/tex]
Thus, we obtain:
[tex]$$s=4.$$[/tex]
Both the step involving the distributive property and the step of adding [tex]$24$[/tex] to both sides are essential parts of solving this equation. Therefore, there is no step among the given options that is not part of the solution process.
The final result is that [tex]$0$[/tex] of these steps are extraneous.
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