# How do you solve  6(w - 1) = 3(3w + 5) ?

Jul 29, 2016

Use the distributive property, then solve for $w$.

#### Explanation:

The distributive property states that $a \left(b + c\right) = a \cdot b + a \cdot c$. Let's use this on the two parentheses:

$6 \left(w - 1\right) = 6 \cdot w + 6 \cdot 1 = 6 w + 6$

$3 \left(3 w + 5\right) = 3 \cdot 3 w + 3 \cdot 5 = 9 w + 15$

We now have $6 w + 6 = 9 w + 15$.

Next, let's isolate $w$ on one side of the equation by subtracting 6 from each side...

$6 w = 9 w + 9$

...and subtracting 9w from each side:

$- 3 w = 9$

From here, it's easy. Just divide each side by -3 to get our answer:

$w = - 3$

Jul 29, 2016

$w = - 7$

#### Explanation:

$6 \left(w - 1\right) = 3 \left(3 w + 5\right)$
or
$6 w - 6 = 9 w + 15$
or
$9 w - 6 w = - 6 - 15$
or
$3 w = - 21$
or
$w = - \frac{21}{3}$
or
$w = - 7$