4(2a - 3) + a

Check the final answer first, then review the worked steps.

Problem

4(2a - 3) + a

Answer

\(9a - 12\)

Step-by-step solution

1. Distribute the constant: Apply the distributive property to the term $4(2a - 3)$. Multiply $4$ by each term inside the parentheses: $4 \times 2a = 8a$ and $4 \times (-3) = -12$. This gives us $8a - 12$.

1. Combine the terms: Now, add the remaining term $+ a$ to the expression: $8a - 12 + a$.

1. Combine like terms: Group the terms containing '$a$' together: $(8a + a) - 12$. Since $8a + a = 9a$, the expression simplifies to $9a - 12$.

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