Question

Solve for W. 4w-4+2(5w+8)=-2(w+3) Simplify your answer as much as possible.

Answer 1

Answer:

w = $-\frac{9}{8}$

Step-by-step explanation:

The question is  $4w-4+2(5w+8)=-2(w+3)$

We can first use distributive property to simplify, the distributive property is  $a(b+c)=ab+ac$

Thus we have:

$4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6$

Now we combine like terms and simplify to get the final answer for w.

$4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}$

Thus, w = $-\frac{9}{8}$

Answer 2

Answer:

1.125

Step-by-step explanation:

we first open the brackets by multiplying every term inside the brackets by 2

We get the following equation: 4w-4+10w+16=-2w-6

collecting like terms together we get 4w+10w+2w=-6-16+4

   16w=-18

dividing both sides by 16 we get w=18/16

=9/8

= 1 1/8 or  1.125