Solve 2=-1/4*2+z

$$2=- \frac{ 1 }{ 4 } \times 2+z$$

Solve for z

$$z = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Express -\frac{1}{4}\times 2 as a single fraction.

$$2=\frac{-2}{4}+z$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$2=-\frac{1}{2}+z$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{2}+z=2$$

Add \frac{1}{2} to both sides.

$$z=2+\frac{1}{2}$$

Convert 2 to fraction \frac{4}{2}.

$$z=\frac{4}{2}+\frac{1}{2}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$z=\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$z=\frac{5}{2}$$