Questions: 30 = -5(6n + 6)

Transcript text: 12) $30=-5(6 n+6)$

Solution

Solution Steps

To solve the equation $30 = -5(6n + 6)$, we need to isolate the variable $n$. First, distribute the $-5$ on the right side of the equation. Then, simplify the equation and solve for $n$ by performing basic algebraic operations.

Step 1: Distribute the Right Side

Start with the equation: \[ 30 = -5(6n + 6) \] Distributing $-5$ gives: \[ 30 = -30n - 30 \]

Step 2: Isolate the Variable

Next, add $30$ to both sides to isolate the term with $n$: \[ 30 + 30 = -30n \] This simplifies to: \[ 60 = -30n \]

Step 3: Solve for $n$

Now, divide both sides by $-30$: \[ n = \frac{60}{-30} = -2 \]

Final Answer

The solution to the equation is \[ \boxed{n = -2} \]

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