What is the solution of the equation -4(z+12)=36when solving for z?

Answer 1

To solve the equation -4(z+12)=36, we can start by distributing the -4 to both terms inside the parentheses:

-4z - 4(12) = 36

Next, simplify the expression by performing the multiplication:

-4z - 48 = 36

Now, we can isolate the variable z by adding 48 to both sides of the equation:

-4z = 36 + 48

-4z = 84

Finally, divide both sides of the equation by -4 to solve for z:

z = 84 / -4

Simplifying the right side:

z = -21

Therefore, the solution to the equation is z = -21.