Answer:
The solution to the equation -6w - 19 = -4w - 17 is w = -1.
Explanation:
To solve the equation -6w - 19 = -4w - 17, we can start by simplifying both sides of the equation:
Step 1: Combine like terms on each side of the equation:
-6w - 19 = -4w - 17
Step 2: Add 6w to both sides of the equation to isolate the variable term:
-6w + 6w - 19 = -4w + 6w - 17
Simplifying further:
-19 = 2w - 17
Step 3: Add 17 to both sides of the equation to isolate the constant term:
-19 + 17 = 2w - 17 + 17
Simplifying further:
-2 = 2w
Step 4: Divide both sides of the equation by 2 to solve for w:
(-2) / 2 = (2w) / 2
Simplifying further:
-1 = w
Therefore, the solution to the equation -6w - 19 = -4w - 17 is w = -1.