Solve for $$ u $$ $$ 2(u+7)=-6 u-34 $$

Question

UpStudy AI · Accepted Answer

To solve the equation for $$ u $$:

$$
2(u + 7) = -6u - 34
$$

**Step 1: Distribute the 2 on the left side**

$$
2 \cdot u + 2 \cdot 7 = -6u - 34 \
2u + 14 = -6u - 34
$$

**Step 2: Move all terms containing $$ u $$ to one side and constant terms to the other**

Add $$ 6u $$ to both sides:

$$
2u + 6u + 14 = -6u + 6u - 34 \
8u + 14 = -34
$$

**Step 3: Isolate the term with $$ u $$**

Subtract $$ 14 $$ from both sides:

$$
8u + 14 - 14 = -34 - 14 \
8u = -48
$$

**Step 4: Solve for $$ u $$**

Divide both sides by $$ 8 $$:

$$
u = \frac{-48}{8} \
u = -6
$$

**Solution:**

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

Solve for \( u \) \[ 2(u+7)=-6 u-34 \]