Question

I need help with this problem 2(w-9)=5w+6+w

Answer 1

Answer:

$w = -6$

Step-by-step explanation:

Solve for $w$:

$2(w - 9) = 5w + 6 + w$

-Use Distributive Property:

$2(w - 9) = 5w + 6 + w$

$2w - 18 = 5w + 6 + w$

-Combine like terms:

$2w - 18 = 5w + 6 + w$

$2w - 18 = 6w + 6$

-Subtract $6w$ from $2w$ :

$2w - 6w - 18 = 6w - 6w + 6$

$-4w - 18 = 6$

-Add $18$ on both sides :

$-4w - 18 + 18 = 6 + 18$

$-4w = 24$

-Take $4w$ divide it on both sides of the equation:

$\frac{-4w}{-4} = \frac{24}{-4}$

$w = -6$

Therefore, the value of $w$ is $-6$.