how do i solve -9(w-3)=8w-7?
Multiply the -9 using the distributive law.
-9w + 27 = 8w -8
You have a couple choices here, but I would add 9w to both sides. This cancel with -9w leaving
27 = 17w -8
Add 8 to both sides and then divide both sides by 8 to solve for w.
Can you finish from here?
To solve the equation -9(w-3) = 8w - 7, follow these steps:
Step 1: Expand both sides of the equation
Multiply -9 by each term inside the parentheses on the left side:
-9(w-3) = -9w + 27
Step 2: Distribute 8 to each term on the right side:
-9w + 27 = 8w - 7
Step 3: Combine like terms
Add 9w to both sides to eliminate the variable from the left side:
-9w + 9w + 27 = 8w - 9w - 7
27 = -w - 7
Step 4: Isolate the variable
Add 7 to both sides to move the constant term to the right side:
27 + 7 = -w - 7 + 7
34 = -w
Step 5: Solve for the variable
Since -w is equivalent to -1w, divide both sides by -1 to isolate w:
34/-1 = -w/-1
-34 = w
So the solution to the equation -9(w-3) = 8w - 7 is w = -34.