100+r(5)=2(r)(5)

Solution for 100+r(5)=2(r)(5) equation:

Simplifying
100 + r(5) = 2(r)(5)

Reorder the terms for easier multiplication:
100 + 5r = 2(r)(5)

Reorder the terms for easier multiplication:
100 + 5r = 2 * 5r

Multiply 2 * 5
100 + 5r = 10r

Solving
100 + 5r = 10r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-10r' to each side of the equation.
100 + 5r + -10r = 10r + -10r

Combine like terms: 5r + -10r = -5r
100 + -5r = 10r + -10r

Combine like terms: 10r + -10r = 0
100 + -5r = 0

Add '-100' to each side of the equation.
100 + -100 + -5r = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -5r = 0 + -100
-5r = 0 + -100

Combine like terms: 0 + -100 = -100
-5r = -100

Divide each side by '-5'.
r = 20

Simplifying
r = 20