Solve:
8w-8-6w=4w-7
w=-1/2
Right.
To solve the equation 8w - 8 - 6w = 4w - 7, we need to simplify it step by step.
Step 1: Combine like terms on both sides of the equation.
On the left side, 8w - 6w becomes 2w.
On the right side, 4w - 7 remains the same.
The updated equation is now: 2w - 8 = 4w - 7.
Step 2: Get all the variables on one side and the constants on the other side.
Since we want to isolate the variable w, we need to move the constant term (-8) to the other side.
To do this, we can add 8 to both sides of the equation:
(2w - 8) + 8 = (4w - 7) + 8, which simplifies to:
2w = 4w + 1.
Step 3: Move all the terms with w to one side and the constant term to the other side.
To isolate the variable w, we need to move the 4w term to the left side.
We can do this by subtracting 4w from both sides of the equation:
2w - 4w = 4w - 4w + 1, which simplifies to:
-2w = 1.
Step 4: Solve for w.
To solve for w, we divide both sides of the equation by -2:
(-2w) / -2 = 1 / -2, which simplifies to:
w = -1/2.
Therefore, the solution to the equation 8w - 8 - 6w = 4w - 7 is w = -1/2.