linear equation I

[Karrie1113]

Hello, I have a few algebraic equations that I need help solving. Please explain step by step the details for solving the equations.
1. 9-6(2z+1)=-3(4z-1)
this is how I think I would solve this problem.
9-12z-6=-12z+3
now I would subtract 9 from both sides
-12z-6=-12z-6
both sides are the same now and I believe there is no solution or Z is equal to 1

 

[mmm4444bot]

both sides are the same now and I believe there is no solution or Z is equal to 1

The symbols z and Z do not mean the same thing. They are NOT interchangable. Just use symbol(s) that you're given; don't change them.

If both sides of an equation are identical in form, then the equation is true for ALL values.

PS: I should probably clarify that "ALL values" means "ALL values for which both sides are defined".

EG:

4/z = 4/z

This equation is true for all Real numbers z, except z = 0.

Here, the phrase "ALL values" does not include zero because neither side is defined when z = 0.

 

[Denis]

Could you please post again in PROPER ENGLISH; thank you.