Solve 100=6*(5+5*8/4)+5*R

$$100 = 6 \cdot ( 5 + \frac { 5 \cdot 8 } { 4 } ) + 5 \cdot R$$

Solve for R

$$R=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$400=24\left(5+\frac{5\times 8}{4}\right)+20R$$

Multiply 5 and 8 to get 40.

$$400=24\left(5+\frac{40}{4}\right)+20R$$

Divide 40 by 4 to get 10.

$$400=24\left(5+10\right)+20R$$

Add 5 and 10 to get 15.

$$400=24\times 15+20R$$

Multiply 24 and 15 to get 360.

$$400=360+20R$$

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

$$360+20R=400$$

Subtract 360 from both sides.

$$20R=400-360$$

Subtract 360 from 400 to get 40.

$$20R=40$$

Divide both sides by 20.

$$R=\frac{40}{20}$$

Divide 40 by 20 to get 2.

$$R=2$$