I am having trouble with these kinds of problems and I ask my teacher but he doesnt explain it good enough. Will you please tell me step by step instructions to solve this type of problem...
-2(z + 11)=6
thank you
multiply the parenthesis by -2
-2z-22=6
add 22 to each side.
-2z=28
divide both sides by -2
z=-14
-2(z + 11)=6
First, multiply:
-2z - 22 = 6
Then, to combine like terms, add 22 to both sides of the equation.
-2z - 22 + 22 = 6 + 22
-2z = 28
z = -14
You can prove this answer by substituting -14 for z in your original problem.
Of course, I'd be happy to help you solve this problem step by step.
Step 1: Start by distributing the -2 to the terms inside the parentheses.
-2(z + 11) becomes -2z - 22.
So, the equation becomes -2z - 22 = 6.
Step 2: To isolate the variable, we'll start by getting rid of the constant term. In this case, the constant term is -22. We can do this by adding 22 to both sides of the equation.
-2z - 22 + 22 = 6 + 22, which simplifies to -2z = 28.
Step 3: Next, we want to isolate the variable z. To do this, we need to get rid of the coefficient -2. We can do this by dividing both sides of the equation by -2.
(-2z) / -2 = 28 / -2, which simplifies to z = -14.
So the solution to the equation -2(z + 11) = 6 is z = -14.
Remember, it is important to follow these steps systematically when solving equations to ensure accurate results.