Respuesta :

Answer:

[tex]\boxed{w=-10}[/tex]

The answer have negative sign.

Step-by-step explanation:

Subtract by 6 both sides of equation.

[tex]-4w+6-6=46-6[/tex]

Simplify.

[tex]46-6=40[/tex]

[tex]-4w=40[/tex]

Divide by -4 both sides of equation.

[tex]\frac{-4w}{-4}=\frac{40}{4}[/tex]

Simplify to find the answer.

[tex]40\div-4=-10[/tex]

[tex]w=-10[/tex], is the correct answer

-4w+6=46
w=-10

You can also plug in -10 into w to check if it makes the statement true