|3w+6|=9
Solve for w

Remove the absolute value term. This creates a ± on the right-hand side of the equation because |x|=±x.
3w+6=±(9)

Set up the
3w+6=9

Move all terms not containing w to the right-hand side of the equation.
3w=3

Divide each term in the equation by 3.
w=1

Set up the − portion of the ± solution.
3w+6=−(9)

Simplify.
3w+6=−9

Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.
3w=−6−9

Subtract 9 from −6 to get −15.
3w=−15

Divide each term in the equation by 3.
w=−5


w=1,−5

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c