What is the coefficient of a in the simplified form of 4(2a - 3) + 5(a + 4)?

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Multiple Choice

What is the coefficient of a in the simplified form of 4(2a - 3) + 5(a + 4)?

Explanation:
Distribute each part and then combine like terms. 4(2a - 3) becomes 8a - 12, and 5(a + 4) becomes 5a + 20. Add them: 8a - 12 + 5a + 20 = (8a + 5a) + (-12 + 20) = 13a + 8. The coefficient of a is the number multiplying a, which is 13. The constant term is 8, so that’s not the coefficient of a.

Distribute each part and then combine like terms.

4(2a - 3) becomes 8a - 12, and 5(a + 4) becomes 5a + 20.

Add them: 8a - 12 + 5a + 20 = (8a + 5a) + (-12 + 20) = 13a + 8.

The coefficient of a is the number multiplying a, which is 13. The constant term is 8, so that’s not the coefficient of a.

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