Solve for $$ w $$ $$ -2+8 w=-6(3 w+9) $$ $$ w=\square $$ Submit

Question

UpStudy AI · Accepted Answer

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

$$
-2 + 8w = -6(3w + 9)
$$

**Step 1:** Expand the right side of the equation.

$$
-6(3w + 9) = -18w - 54
$$

So the equation becomes:

$$
-2 + 8w = -18w - 54
$$

**Step 2:** Move all terms containing $$ w $$ to the left side and constant terms to the right side.

$$
8w + 18w = -54 + 2
$$

$$
26w = -52
$$

**Step 3:** Solve for $$ w $$ by dividing both sides by 26.

$$
w = \frac{-52}{26} = -2
$$

**Final Answer:**

$$
w = -2
$$
$$ w = -2 $$

Solve for \( w \) \( -2+8 w=-6(3 w+9) \) \( w=\square \) Submit