Solve 30/15-1.5/-20=30-1.5/R

$$\frac { 30 } { 15 } - \frac { 1.5 } { - 20 } = \frac { 30 - 1.5 } { R }$$

Solve for R

$$R = \frac{1140}{83} = 13\frac{61}{83} \approx 13.734939759$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 60R, the least common multiple of 15,-20,R.

$$4R\times 30-\left(-3R\times 1.5\right)=60\left(30-1.5\right)$$

Multiply 4 and 30 to get 120.

$$120R-\left(-3R\times 1.5\right)=60\left(30-1.5\right)$$

Multiply -3 and 1.5 to get -4.5.

$$120R-\left(-4.5R\right)=60\left(30-1.5\right)$$

The opposite of -4.5R is 4.5R.

$$120R+4.5R=60\left(30-1.5\right)$$

Combine 120R and 4.5R to get 124.5R.

$$124.5R=60\left(30-1.5\right)$$

Subtract 1.5 from 30 to get 28.5.

$$124.5R=60\times 28.5$$

Multiply 60 and 28.5 to get 1710.

$$124.5R=1710$$

Divide both sides by 124.5.

$$R=\frac{1710}{124.5}$$

Expand \frac{1710}{124.5} by multiplying both numerator and the denominator by 10.

$$R=\frac{17100}{1245}$$

Reduce the fraction \frac{17100}{1245} to lowest terms by extracting and canceling out 15.

$$R=\frac{1140}{83}$$