6=.75(r-12)

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

Simplifying
6 = 0.75(r + -12)

Reorder the terms:
6 = 0.75(-12 + r)
6 = (-12 * 0.75 + r * 0.75)
6 = (-9 + 0.75r)

Solving
6 = -9 + 0.75r

Solving for variable 'r'.

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

Add '-0.75r' to each side of the equation.
6 + -0.75r = -9 + 0.75r + -0.75r

Combine like terms: 0.75r + -0.75r = 0.00
6 + -0.75r = -9 + 0.00
6 + -0.75r = -9

Add '-6' to each side of the equation.
6 + -6 + -0.75r = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -0.75r = -9 + -6
-0.75r = -9 + -6

Combine like terms: -9 + -6 = -15
-0.75r = -15

Divide each side by '-0.75'.
r = 20

Simplifying
r = 20