$$ 8 w+14=5 w+6 w-10 $$ Simplify your answer as much as possible. $$ w=\square $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
8w + 14 = 5w + 6w - 10
$$

**Step 1:** Combine like terms on the right side.

$$
5w + 6w = 11w
$$

So the equation becomes:

$$
8w + 14 = 11w - 10
$$

**Step 2:** Move all terms involving $$ w $$ to one side and constant terms to the other side.

$$
8w - 11w = -10 - 14
$$

$$
-3w = -24
$$

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

$$
w = \frac{-24}{-3} = 8
$$

$$
w = 8
$$

**Answer:**

$$
w = 8
$$
$$ w = 8 $$

\( 8 w+14=5 w+6 w-10 \) Simplify your answer as much as possible. \( w=\square \)