Question 755098
-5(1-2z)+4(3-z)=7(3+2)

The basic idea of this equation is to distribute everything first. 
 (Remember the Order of Operations: [P]arenthesis [E]xponents [M]ultiplication [D]ivision [A]ddition [S]ubtraction)


1. If you distribute, it should look like this:


-5+10z+12-4z= 7(5)


*The negative sign from -2z changes to a positive sign because when two negative numbers multiply (-5 and -2z in this case), they result in a positive answer (+10z). However, when there is one negative number (-z) and one positive number (+4) multiplied, it equals to a negative answer (-4z).*


2. The next step is to group like terms together and operate in between them:


(-5+12)+(10z-4z)=35


7+6z=35


3. Now solve like normal. Subtract 7 from both sides and then divide by 6.

6z=35-7


z=28/6


z=4.66


To check your answer replace z with 4.66 and see if it equals to 35.