Solve for \( a \):

\[ 4(a-1) - 5 = 3a + 7 \]

Distributive property says 4 * a and 4 * -1 so 4a - 4 - 5 = 3a + 7 Now do the simple subtraction -4 - 5 = -9 Then add 9 and subtract 3a **Remember: Always do the opposite operation to ** ***both ** sides . So you have a = 16 ***

Answered by MathG33k | 2024-06-10

4 ⋅ ( a − 1 ) − 5 = 3 a + 7 4 ⋅ a − 4 ⋅ 1 − 5 = 3 a + 7 4 a − 4 − 5 = 3 a + 7 4 a − 9 = 3 a + 7 / + 9 4 a − 9 + 9 = 3 a + 7 + 9 4 a = 3 a + 16 / − 3 a 4 a − 3 a = 3 a − 3 a + 16 a = 16

Answered by Anonymous | 2024-06-10

To solve for a , we applied the distributive property and isolated a through a series of algebraic steps. The final solution we found is a = 16 .
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Answered by MathG33k | 2024-12-23