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

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

Solve for r

$$r=-4$$

Steps for Solving Linear Equation

Express \frac{3}{5}\left(-15\right) as a single fraction.

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

Multiply 3 and -15 to get -45.

$$\frac{-45}{5}=\frac{2}{3}\left(-15\right)-\frac{1}{4}r$$

Divide -45 by 5 to get -9.

$$-9=\frac{2}{3}\left(-15\right)-\frac{1}{4}r$$

Express \frac{2}{3}\left(-15\right) as a single fraction.

$$-9=\frac{2\left(-15\right)}{3}-\frac{1}{4}r$$

Multiply 2 and -15 to get -30.

$$-9=\frac{-30}{3}-\frac{1}{4}r$$

Divide -30 by 3 to get -10.

$$-9=-10-\frac{1}{4}r$$

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

$$-10-\frac{1}{4}r=-9$$

Add 10 to both sides.

$$-\frac{1}{4}r=-9+10$$

Add -9 and 10 to get 1.

$$-\frac{1}{4}r=1$$

Multiply both sides by -4, the reciprocal of -\frac{1}{4}.

$$r=1\left(-4\right)$$

Multiply 1 and -4 to get -4.

$$r=-4$$