83=-5r+3(5r+1)

Solution for 83=-5r+3(5r+1) equation:

Simplifying
83 = -5r + 3(5r + 1)

Reorder the terms:
83 = -5r + 3(1 + 5r)
83 = -5r + (1 * 3 + 5r * 3)
83 = -5r + (3 + 15r)

Reorder the terms:
83 = 3 + -5r + 15r

Combine like terms: -5r + 15r = 10r
83 = 3 + 10r

Solving
83 = 3 + 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.
83 + -10r = 3 + 10r + -10r

Combine like terms: 10r + -10r = 0
83 + -10r = 3 + 0
83 + -10r = 3

Add '-83' to each side of the equation.
83 + -83 + -10r = 3 + -83

Combine like terms: 83 + -83 = 0
0 + -10r = 3 + -83
-10r = 3 + -83

Combine like terms: 3 + -83 = -80
-10r = -80

Divide each side by '-10'.
r = 8

Simplifying
r = 8