Solve for $$ w $$, $$ -6(w-9)=-3 w+27 $$ Simplify your answer as much as possible, $$ w=\square $$

Question

UpStudy AI · Accepted Answer

To solve for $$ w $$ in the equation:

$$
-6(w - 9) = -3w + 27
$$

**Step 1:** Distribute $$-6$$ on the left side.

$$
-6w + 54 = -3w + 27
$$

**Step 2:** Move all terms involving $$ w $$ to one side and constants to the other side. Add $$ 3w $$ to both sides:

$$
-6w + 3w + 54 = 27
$$

$$
-3w + 54 = 27
$$

**Step 3:** Subtract $$ 54 $$ from both sides to isolate the term with $$ w $$:

$$
-3w = 27 - 54
$$

$$
-3w = -27
$$

**Step 4:** Divide both sides by $$-3$$ to solve for $$ w $$:

$$
w = \frac{-27}{-3}
$$

$$
w = 9
$$

So, the solution is:

$$
w = 9
$$
$$ w = 9 $$

Solve for \( w \), \[ -6(w-9)=-3 w+27 \] Simplify your answer as much as possible, \( w=\square \)