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), follow these steps:
1. Distribute the –2 across (x + 4):
– –2 * x = –2x
– –2 * 4 = –8
So, –2(x + 4) becomes –2x – 8.
2. Distribute the –3 across (a – 6):
– –3 * a = –3a
– –3 * –6 = +18
So, –3(a – 6) becomes –3a + 18.
3. Now combine the simplified parts:
– Combine the terms: –2x – 8 – 3a + 18
– Combine the constants: –8 + 18 = 10
Final expression: –2x – 3a + 10.
So, the correct answer is B. –2x – 3a + 10.