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

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Multiple Choice

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

Explanation:
Distribute and combine like terms. Use the distributive property to multiply each term inside the parentheses by the number outside. 4(2a - 3) becomes 8a - 12. 5(a + 4) becomes 5a + 20. Now add the results: (8a - 12) + (5a + 20) = (8a + 5a) + (-12 + 20) = 13a + 8. So the simplified form is 13a + 8. The other options would require distributing differently or combining constants incorrectly, which doesn’t match these steps.

Distribute and combine like terms. Use the distributive property to multiply each term inside the parentheses by the number outside.

4(2a - 3) becomes 8a - 12.

5(a + 4) becomes 5a + 20.

Now add the results: (8a - 12) + (5a + 20) = (8a + 5a) + (-12 + 20) = 13a + 8.

So the simplified form is 13a + 8. The other options would require distributing differently or combining constants incorrectly, which doesn’t match these steps.

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