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:

$\begin{gathered} -\times-=+ \\ -\times+=- \end{gathered}$

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:

$w=10$