Solve for $$ u $$. $$ 2(4 u-6)=36 $$ Simplify your answer as much as possible. $$ u=\square $$

Question

UpStudy AI · Accepted Answer

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

$$
2(4u - 6) = 36
$$

**Step 1: Distribute the 2**

Multiply each term inside the parentheses by 2:

$$
2 \times 4u - 2 \times 6 = 36
$$

$$
8u - 12 = 36
$$

**Step 2: Add 12 to both sides**

To isolate the term with $$ u $$, add 12 to both sides of the equation:

$$
8u - 12 + 12 = 36 + 12
$$

$$
8u = 48
$$

**Step 3: Divide both sides by 8**

Finally, divide both sides by 8 to solve for $$ u $$:

$$
u = \frac{48}{8}
$$

$$
u = 6
$$

**Solution:**

$$
u = 6
$$
$$ u = 6 $$

Solve for \( u \). \[ 2(4 u-6)=36 \] Simplify your answer as much as possible. \( u=\square \)