-3w - 9 = -6
first we add 9 to both sides
-9 + 9 = 0
-6 + 9 = 3
-3w = 3
TELL ME IF IM WRONG
You made a mistake when adding 9 to both sides of the equation. It should be:
-3w - 9 + 9 = -6 + 9
After combining like terms, the equation becomes:
-3w = 3
So, your final equation is correct. Well done!
Your steps are correct so far. Adding 9 to both sides is a valid step to isolate the variable. After adding 9 to both sides of the equation, you correctly simplified -9 + 9 to 0 and -6 + 9 to 3. The equation becomes -3w = 3.
You're close, but you made a mistake in the last step. Let's go through the steps again:
The original equation is -3w - 9 = -6.
To isolate the variable w, we need to perform the same operation on both sides of the equation to preserve equality.
First, let's add 9 to both sides:
-3w - 9 + 9 = -6 + 9
Simplifying, we get:
-3w = 3
To solve for w, we need to get rid of the coefficient -3 in front of the variable. The opposite of multiplication is division, so we can divide both sides of the equation by -3:
(-3w)/-3 = 3/-3
Simplifying further:
w = -1
So, the correct solution is w = -1.
You made a mistake in your last step by not dividing the right side of the equation by -3 as well.