Questions: -4(2 a-3)+15=

Transcript text: $-4(2 a-3)+15=$

Solution

Solution Steps

To solve the equation $-4(2a - 3) + 15 = 0$, we need to first distribute the $-4$ across the terms inside the parentheses. Then, we combine like terms and solve for $a$.

Step 1: Distribute the Terms

We start with the equation: \[ -4(2a - 3) + 15 = 0 \] Distributing $-4$ gives: \[ -8a + 12 + 15 = 0 \]

Step 2: Combine Like Terms

Next, we combine the constant terms: \[ -8a + 27 = 0 \]

Step 3: Solve for $a$

To isolate $a$, we rearrange the equation: \[ -8a = -27 \] Dividing both sides by $-8$ results in: \[ a = \frac{27}{8} \]

Final Answer

$\boxed{a = \frac{27}{8}}$

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