-83=-3-5(6+2r)

Solution for -83=-3-5(6+2r) equation:

Simplifying
-83 = -3 + -5(6 + 2r)
-83 = -3 + (6 * -5 + 2r * -5)
-83 = -3 + (-30 + -10r)

Combine like terms: -3 + -30 = -33
-83 = -33 + -10r

Solving
-83 = -33 + -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 = -33 + -10r + 10r

Combine like terms: -10r + 10r = 0
-83 + 10r = -33 + 0
-83 + 10r = -33

Add '83' to each side of the equation.
-83 + 83 + 10r = -33 + 83

Combine like terms: -83 + 83 = 0
0 + 10r = -33 + 83
10r = -33 + 83

Combine like terms: -33 + 83 = 50
10r = 50

Divide each side by '10'.
r = 5

Simplifying
r = 5