Home > Algebra > Multi-Step Equations with Like Terms

How do you solve #9w-4(w-2)=3(w+1)-9#?

Answer 1

Eva Abramson

# w = - 7 #

#9w−4(w−2)=3(w+1)−9 #

#9w + (- 4) * (w) + (-4) * (-2)= 3 * (w) + 3 * (1) - 9 #

#9w - 4 w + 8 = 3 w + 3 - 9 #

#9w - 4 w - 3 w = 3 - 9 - 8 #

#9w - 7 w = 3 - 9 - 8 #

#2 w = - 6 - 8 #

#2 w = - 14#

# w = - 14/ 2 # # w = - 7 #

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

To solve the equation 9w - 4(w - 2) = 3(w + 1) - 9, first distribute the terms inside the parentheses. Then, combine like terms and solve for the variable w. The solution is w = 2.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.