46=2-8w-3w
I tried adding -8w to both sides and i got the answer wrong... my math text book says the answer should be -4 but i don't know how to get it
add 8w to each side
46+8w=2-3w
now add three w to each side
46+11w=2
subtract 46 from each side
11w=-44
w= -4
Thanks, i understand that now
To solve the equation 46 = 2 - 8w - 3w, you need to simplify and isolate the variable w.
Let's break it down step by step:
1. Start by combining the -8w and -3w terms on the right side of the equation:
-8w - 3w can be simplified to -11w.
So now the equation is:
46 = 2 - 11w.
2. Next, isolate the variable w. To do this, we need to isolate the terms involving w on one side of the equation.
Move the 2 to the left side by subtracting 2 from both sides of the equation:
46 - 2 = -11w.
Simplify:
44 = -11w.
3. To solve for w, we need to get rid of the coefficient -11.
Divide both sides of the equation by -11:
44 / -11 = (-11w) / -11.
Simplify:
-4 = w.
So the solution to the equation 46 = 2 - 8w - 3w is w = -4.
If your textbook says the answer should be -4, it's possible that there was an error in your calculations. Double-check your steps to make sure you didn't make any mistakes when adding or simplifying terms.