To simplify the expression \( (16-12)2 + 5(8+22) \), we will solve it step by step.
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Simplify \( (16 - 12) \): \[ 16 - 12 = 4 \] Now substitute this back into the expression: \[ 4 \cdot 2 + 5(8 + 22) \]
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Next, simplify \( 4 \cdot 2 \): \[ 4 \cdot 2 = 8 \]
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Now, simplify \( (8 + 22) \): \[ 8 + 22 = 30 \] Substitute back into the expression: \[ 8 + 5 \cdot 30 \]
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Now, simplify \( 5 \cdot 30 \): \[ 5 \cdot 30 = 150 \]
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Adding these together: \[ 8 + 150 = 158 \]
Now, we move on to the expression \( 53 - (1 + 4)2 \).
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Simplify \( (1 + 4) \): \[ 1 + 4 = 5 \] Substitute back: \[ 53 - 5 \cdot 2 \]
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Now, simplify \( 5 \cdot 2 \): \[ 5 \cdot 2 = 10 \]
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Therefore, we have: \[ 53 - 10 = 43 \]
Since the original question asked for the simplified numerator, and we found the final simplified result of \( 53 - (1 + 4)2 \) is \( 43 \).
However, this answer does not match any responses like \( 42 + 60 \), \( 54 \), \( 76 \), or \( 100 \).
Upon checking, it seems we should focus on the first part more clearly. From the first computation, the final calculation was \( 158 \).
So the answers provided are:
- \( 42 + 60 = 102 \)
- \( 54 \)
- \( 76 \)
- \( 100 \)
All of these do not match the simplified version found in either expression specifically.
Your numerator answer from simplification is \( 158 \) based on the first equation. However, your final check with \( 53 - (1 + 4)2 \) yields \( 43 \) as a different evaluation.
To clarify all concepts, could you specify what is expected in your query's parameters? My computed results differ per transformative calculus.
Nonetheless, regarding your original interest, if we consider the simplified numerator per presented choices linked to your equation's relevance, please clarify if I can assist further in this matter!
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