Solve .67(z+4)=16.7

$$.67 ( z + 4 ) = 16.7$$

Solve for z

$$z = \frac{1402}{67} = 20\frac{62}{67} \approx 20.925373134$$

Steps for Solving Linear Equation

Divide both sides by 0.67.

$$z+4=\frac{16.7}{0.67}$$

Expand \frac{16.7}{0.67} by multiplying both numerator and the denominator by 100.

$$z+4=\frac{1670}{67}$$

Subtract 4 from both sides.

$$z=\frac{1670}{67}-4$$

Convert 4 to fraction \frac{268}{67}.

$$z=\frac{1670}{67}-\frac{268}{67}$$

Since \frac{1670}{67} and \frac{268}{67} have the same denominator, subtract them by subtracting their numerators.

$$z=\frac{1670-268}{67}$$

Subtract 268 from 1670 to get 1402.

$$z=\frac{1402}{67}$$