Solve 100=6(5+5R/4)+5*R

$$100 = 6 ( 5 + \frac { 5 R } { 4 } ) + 5 \cdot R$$

Solve for R

$$R = \frac{28}{5} = 5\frac{3}{5} = 5.6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$400=24\left(5+\frac{5R}{4}\right)+20R$$

Use the distributive property to multiply 24 by 5+\frac{5R}{4}.

$$400=120+24\times \frac{5R}{4}+20R$$

Cancel out 4, the greatest common factor in 24 and 4.

$$400=120+6\times 5R+20R$$

Multiply 6 and 5 to get 30.

$$400=120+30R+20R$$

Combine 30R and 20R to get 50R.

$$400=120+50R$$

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

$$120+50R=400$$

Subtract 120 from both sides.

$$50R=400-120$$

Subtract 120 from 400 to get 280.

$$50R=280$$

Divide both sides by 50.

$$R=\frac{280}{50}$$

Reduce the fraction \frac{280}{50} to lowest terms by extracting and canceling out 10.

$$R=\frac{28}{5}$$