Solve 2/5(-15)=1/3(-15)-3/4z

$$\frac{ 2 }{ 5 } (-15) = \frac{ 1 }{ 3 } (-15)- \frac{ 3 }{ 4 } z$$

Solve for z

$$z = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Express \frac{2}{5}\left(-15\right) as a single fraction.

$$\frac{2\left(-15\right)}{5}=\frac{1}{3}\left(-15\right)-\frac{3}{4}z$$

Multiply 2 and -15 to get -30.

$$\frac{-30}{5}=\frac{1}{3}\left(-15\right)-\frac{3}{4}z$$

Divide -30 by 5 to get -6.

$$-6=\frac{1}{3}\left(-15\right)-\frac{3}{4}z$$

Multiply \frac{1}{3} and -15 to get \frac{-15}{3}.

$$-6=\frac{-15}{3}-\frac{3}{4}z$$

Divide -15 by 3 to get -5.

$$-6=-5-\frac{3}{4}z$$

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

$$-5-\frac{3}{4}z=-6$$

Add 5 to both sides.

$$-\frac{3}{4}z=-6+5$$

Add -6 and 5 to get -1.

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

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.

$$z=-\left(-\frac{4}{3}\right)$$

Multiply -1 and -\frac{4}{3} to get \frac{4}{3}.

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