Solve for $$ u $$. $$ 6 u-45=-3(u-6) $$ Simplify your answer as much as possible. $$ u=\square $$

Question

UpStudy AI · Accepted Answer

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

$$
6u - 45 = -3(u - 6)
$$

**Step 1:** Distribute the $$-3$$ on the right side.

$$
6u - 45 = -3u + 18
$$

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

$$
6u + 3u - 45 = 18
$$
$$
9u - 45 = 18
$$

**Step 3:** Add $$ 45 $$ to both sides to isolate the term with $$ u $$:

$$
9u = 63
$$

**Step 4:** Divide both sides by $$ 9 $$ to solve for $$ u $$:

$$
u = \frac{63}{9} = 7
$$

$$
u = 7
$$

**Final Answer:**
$$
u = 7
$$
$$ u = 7 $$

Solve for \( u \). \[ 6 u-45=-3(u-6) \] Simplify your answer as much as possible. \( u=\square \)