Question

Find the value of w given that -2 = -(w - 8)

Answer 1

Given the equation

`-2=-(w-8)`

First, we open the bracket on the right-hand side of the equation.

Note the following:

`\begin{gathered} -*-=+ \\ -*+=- \end{gathered}`

Therefore:

`-(w-8)=-w+8`

The given equation becomes:

`-2=-w+8`

Next, we subtract 8 from both sides

`\begin{gathered} -2-8=-w+8-8 \\ -10=-w \end{gathered}`

We can then cancel out the minus sign on both sides to get the value of w.

Therefore:

`w=10`