Simplify. –2(x + 4) – 3(a – 6) A. –2x + 3a – 26 B. –2x – 3a + 10 C. –2x – 3a – 26 D. –2x + 3a + 10
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Simplify. –2(x + 4) – 3(a – 6) A. –2x + 3a – 26 B. –2x – 3a + 10 C. –2x – 3a – 26 D. –2x + 3a + 10
To simplify the expression –2(x + 4) – 3(a – 6), we’ll distribute the multiplication first:
1. Distribute –2 to (x + 4):
–2x – 8
2. Distribute –3 to (a – 6):
–3a + 18
Now, combine these results:
–2x – 8 – 3a + 18
Combine like terms (-8 + 18):
–2x – 3a + 10
So the simplified expression is –2x – 3a + 10, which corresponds to option B.
The correct answer is B. –2x – 3a + 10.