Question

solve for w.
|3w + 9| = 6
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
w =

Explanation:

Step1: Apply absolute value definition

The absolute value equation \(|3w + 9| = 6\) means \(3w + 9 = 6\) or \(3w + 9 = -6\).

Step2: Solve \(3w + 9 = 6\)

Subtract 9 from both sides: \(3w = 6 - 9 = -3\). Then divide by 3: \(w = \frac{-3}{3} = -1\).

Step3: Solve \(3w + 9 = -6\)

Subtract 9 from both sides: \(3w = -6 - 9 = -15\). Then divide by 3: \(w = \frac{-15}{3} = -5\).

Answer:

-1, -5