What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?

The solution to the equation is w=-2

Step-by-step explanation:

Given Equation: 9(w-4)-7w=5(3w-2)

Using the distributive property

i.e. a.(b+c)=a.b+a.c

9w-36-7w= 5(3w-2)

9w-36-7w=15w-10 [Distributive Property]

10-36=15w-9w+7w [Taking like terms same side i.e. w on RHS and numbers on LHS]

-26=13w

Dividing both sides by 13

w=-2

table 3 represents a direct variation function. : )