To determine the solution to the equation -3w - 9 - (-6) = 0, we need to simplify the expression on the left side of the equation.
Step 1: Simplify the expression inside the parentheses: -3w - 9 - (-6) = 0
The subtraction of a negative (-6) is equivalent to addition, so the expression becomes:
-3w - 9 + 6 = 0
Step 2: Combine like terms: -3w - 9 + 6 = 0
We can simplify -9 + 6 to -3, so the expression becomes:
-3w - 3 = 0
Step 3: Isolate the variable term: -3w - 3 = 0
To isolate -3w, we need to move -3 to the other side of the equation. Since it is subtracted from -3w, we can add 3 to both sides of the equation:
-3w - 3 + 3 = 0 + 3
This simplifies to:
-3w = 3
Step 4: Solve for w: -3w = 3
To solve for w, we divide both sides of the equation by -3:
(-3w) / -3 = 3 / -3
This simplifies to:
w = -1
Therefore, the solution to the equation -3w - 9 - (-6) = 0 is w = -1.