Solve -1/2=-2z-4

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

Solve for z

$$z = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Steps for Solving Linear Equation

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

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

Add 4 to both sides.

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

Convert 4 to fraction \frac{8}{2}.

$$-2z=-\frac{1}{2}+\frac{8}{2}$$

Since -\frac{1}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$-2z=\frac{-1+8}{2}$$

Add -1 and 8 to get 7.

$$-2z=\frac{7}{2}$$

Divide both sides by -2.

$$z=\frac{\frac{7}{2}}{-2}$$

Express \frac{\frac{7}{2}}{-2} as a single fraction.

$$z=\frac{7}{2\left(-2\right)}$$

Multiply 2 and -2 to get -4.

$$z=\frac{7}{-4}$$

Fraction \frac{7}{-4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$z=-\frac{7}{4}$$