Let's solve the equation step by step. The equation you have is:
\[ \frac{s}{-3} + 8 = 16 \]
Step 1: Isolate the term with \( s \)
To isolate \(\frac{s}{-3}\), we first need to eliminate the \(+8\) on the left side. We do this by subtracting 8 from both sides:
\[ \frac{s}{-3} + 8 - 8 = 16 - 8 \]
This simplifies to:
\[ \frac{s}{-3} = 8 \]
Step 2: Solve for \( s \)
Now that we have \(\frac{s}{-3} = 8\), we need to eliminate the fraction. We can do this by multiplying both sides by \(-3\):
\[ s = 8 \cdot (-3) \]
This simplifies to:
\[ s = -24 \]
Summary of steps:
- Subtract 8 from both sides (to isolate \(\frac{s}{-3}\)).
- Multiply both sides by -3 (to solve for \(s\)).
So the completed process looks like this:
- Initial equation: \(\frac{s}{-3} + 8 = 16\)
- After subtracting 8 from both sides: \(\frac{s}{-3} = 8\)
- After multiplying both sides by -3: \(s = -24\)
Fill in the missing terms:
- The term after subtracting 8 from both sides should be: \(\frac{s}{-3} = 8\).
- The term for \(s\) after multiplying both sides by -3 should be: \(s = -24\).
Options to choose from:
- Add 8 to both sides (not applicable)
- Subtract 8 from both sides (correct option)
- Multiply both sides by 8 (not applicable)
- Divide both sides by 8 (not applicable)
- Apply the distributive property (not applicable)
- s = -24 (final solution)
- Add -3 to both sides (not applicable)
- Subtract -3 from both sides (not applicable)
- Multiply both sides by -3 (correct option)
- Divide both sides by -3 (not applicable)
- Combine like terms (not applicable)
The final answer is:
- \(\frac{s}{-3} + 8 = 16\)
- \(\frac{s}{-3} = 8\)
- \(s = -24\)
- Actions: Subtract 8 from both sides, Multiply both sides by -3.
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