Solve -3z+7/2=z+1/2

$$- 3 z + \frac { 7 } { 2 } = z + \frac { 1 } { 2 }$$

Solve for z

$$z=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Subtract z from both sides.

$$-3z+\frac{7}{2}-z=\frac{1}{2}$$

Combine -3z and -z to get -4z.

$$-4z+\frac{7}{2}=\frac{1}{2}$$

Subtract \frac{7}{2} from both sides.

$$-4z=\frac{1}{2}-\frac{7}{2}$$

Since \frac{1}{2} and \frac{7}{2} have the same denominator, subtract them by subtracting their numerators.

$$-4z=\frac{1-7}{2}$$

Subtract 7 from 1 to get -6.

$$-4z=\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$-4z=-3$$

Divide both sides by -4.

$$z=\frac{-3}{-4}$$

Fraction \frac{-3}{-4} can be simplified to \frac{3}{4} by removing the negative sign from both the numerator and the denominator.

$$z=\frac{3}{4}$$