Question

solve for w.
7w + 23 = 4w + 8w - 22
simplify your answer as much as possible.
w =

Explanation:

Step1: Combine like terms on RHS

$7w + 23 = (4w + 8w) - 22$
$7w + 23 = 12w - 22$

Step2: Isolate w terms on one side

Subtract $7w$ from both sides:
$7w - 7w + 23 = 12w - 7w - 22$
$23 = 5w - 22$

Step3: Isolate the constant terms

Add 22 to both sides:
$23 + 22 = 5w - 22 + 22$
$45 = 5w$

Step4: Solve for w

Divide both sides by 5:
$\frac{45}{5} = \frac{5w}{5}$
$9 = w$

Answer:

$w = 9$