-6=75(r-12)

Solution for -6=75(r-12) equation:

Simplifying
-6 = 75(r + -12)

Reorder the terms:
-6 = 75(-12 + r)
-6 = (-12 * 75 + r * 75)
-6 = (-900 + 75r)

Solving
-6 = -900 + 75r

Solving for variable 'r'.

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

Add '-75r' to each side of the equation.
-6 + -75r = -900 + 75r + -75r

Combine like terms: 75r + -75r = 0
-6 + -75r = -900 + 0
-6 + -75r = -900

Add '6' to each side of the equation.
-6 + 6 + -75r = -900 + 6

Combine like terms: -6 + 6 = 0
0 + -75r = -900 + 6
-75r = -900 + 6

Combine like terms: -900 + 6 = -894
-75r = -894

Divide each side by '-75'.
r = 11.92

Simplifying
r = 11.92