Question

solve for z.
\frac{z}{10} - 2 = 4
choose an action to perform.
ways to rewrite expressions
combine like terms
distribute
perform multiplication
rewrite division as multiplication
rewrite fractions
rewrite signs
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides

Explanation:

Step1: Isolate the fraction term

To solve \(\frac{z}{10}-2 = 4\), first, we need to isolate the term with \(z\). We can do this by adding 2 to both sides of the equation. This is based on the addition property of equality, which states that if we add the same number to both sides of an equation, the equation remains true.
So, \(\frac{z}{10}-2 + 2=4 + 2\)
Simplifying both sides, we get \(\frac{z}{10}=6\)

Step2: Solve for \(z\)

Now, to solve for \(z\), we multiply both sides of the equation \(\frac{z}{10}=6\) by 10. This is based on the multiplication property of equality, which states that if we multiply both sides of an equation by the same non - zero number, the equation remains true.
So, \(10\times\frac{z}{10}=6\times10\)
Simplifying the left - hand side (the 10 in the numerator and denominator cancels out) and the right - hand side, we get \(z = 60\)

Answer:

\(z = 60\)