Question

Solve for w.4w+6= -22Simplify your answer as much as possible.W8DDХ5?

Answer 1

w= -7

Step-by-step explanation

`\begin{gathered} 4w+6=-22 \\ \end{gathered}`

Step 1

The addition property of equality and subtraction property of equality are similar. Adding or subtracting the same number to or from both sides of an equation keeps both sides equal, so we can use this fact to isolate w

a) subtract 6 in both sides of the equation

`\begin{gathered} 4w+6=-22 \\ 4w+6-6=-22-6 \\ 4w=-28 \\ \end{gathered}`

Step 2

The division property of equality states that when we divide both sides of an equation by the same number, the two sides remain equal.so

b) divide both sides by 4

`\begin{gathered} 4w=-28 \\ (4w)/(4)=(-28)/(4) \\ w=-7 \end{gathered}`

therefore, the answer is

w= -7

I hope this helps you