8w-8-6w=4w-7
w=-1/2
how is it w=-1/2 ?
8w-8-6w=4w-7
2w - 8 = 4w - 7
-8 + 7 = 4w - 2w
-1 = 2w
-1/2 = w
To solve the equation 8w - 8 - 6w = 4w - 7, we can follow these steps:
Step 1: Combine like terms on both sides of the equation.
On the left side, we have 8w - 6w - 8.
On the right side, we have 4w - 7.
Combining like terms on the left side gives us 2w - 8 = 4w - 7.
Step 2: Isolate the variable on one side of the equation.
To isolate the variable w, we need to get all the terms with w on one side and the constant terms on the other side.
To do this, we can move the 2w term to the right side by adding 2w to both sides of the equation.
2w - 8 + 2w = 4w - 7 + 2w simplifies to 4w - 8 = 6w - 7.
Step 3: Continue simplifying the equation.
To move the constant terms to the right side, we can add 8 to both sides of the equation.
4w - 8 + 8 = 6w - 7 + 8 simplifies to 4w = 6w + 1.
Step 4: Move all the w terms to one side of the equation.
To move the 6w term to the left side, we subtract 6w from both sides.
4w - 6w = 6w - 6w + 1 simplifies to -2w = 1.
Step 5: Solve for w.
To solve for w, we divide both sides of the equation by -2.
-2w / -2 = 1 / -2 simplifies to w = -1/2.
Therefore, the solution to the equation 8w - 8 - 6w = 4w - 7 is w = -1/2.