Solve 216/7+2z=48

$$\frac { 216 } { 7 } + 2 z = 48$$

Solve for z

$$z = \frac{60}{7} = 8\frac{4}{7} \approx 8.571428571$$

Steps for Solving Linear Equation

Subtract \frac{216}{7} from both sides.

$$2z=48-\frac{216}{7}$$

Convert 48 to fraction \frac{336}{7}.

$$2z=\frac{336}{7}-\frac{216}{7}$$

Since \frac{336}{7} and \frac{216}{7} have the same denominator, subtract them by subtracting their numerators.

$$2z=\frac{336-216}{7}$$

Subtract 216 from 336 to get 120.

$$2z=\frac{120}{7}$$

Divide both sides by 2.

$$z=\frac{\frac{120}{7}}{2}$$

Express \frac{\frac{120}{7}}{2} as a single fraction.

$$z=\frac{120}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$z=\frac{120}{14}$$

Reduce the fraction \frac{120}{14} to lowest terms by extracting and canceling out 2.

$$z=\frac{60}{7}$$