Solve 6.6(z-4z)=39

$$6.6 ( z - 4 z ) = 39$$

Solve for z

$$z = -\frac{65}{33} = -1\frac{32}{33} \approx -1.96969697$$

Steps for Solving Linear Equation

Divide both sides by 6.6.

$$z-4z=\frac{39}{6.6}$$

Expand \frac{39}{6.6} by multiplying both numerator and the denominator by 10.

$$z-4z=\frac{390}{66}$$

Reduce the fraction \frac{390}{66} to lowest terms by extracting and canceling out 6.

$$z-4z=\frac{65}{11}$$

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

$$-3z=\frac{65}{11}$$

Divide both sides by -3.

$$z=\frac{\frac{65}{11}}{-3}$$

Express \frac{\frac{65}{11}}{-3} as a single fraction.

$$z=\frac{65}{11\left(-3\right)}$$

Multiply 11 and -3 to get -33.

$$z=\frac{65}{-33}$$

Fraction \frac{65}{-33} can be rewritten as -\frac{65}{33} by extracting the negative sign.

$$z=-\frac{65}{33}$$