10-.3(r-11)=0.8(2r-11)

Solution for 10-.3(r-11)=0.8(2r-11) equation:

Simplifying
10 + -0.3(r + -11) = 0.8(2r + -11)

Reorder the terms:
10 + -0.3(-11 + r) = 0.8(2r + -11)
10 + (-11 * -0.3 + r * -0.3) = 0.8(2r + -11)
10 + (3.3 + -0.3r) = 0.8(2r + -11)

Combine like terms: 10 + 3.3 = 13.3
13.3 + -0.3r = 0.8(2r + -11)

Reorder the terms:
13.3 + -0.3r = 0.8(-11 + 2r)
13.3 + -0.3r = (-11 * 0.8 + 2r * 0.8)
13.3 + -0.3r = (-8.8 + 1.6r)

Solving
13.3 + -0.3r = -8.8 + 1.6r

Solving for variable 'r'.

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

Add '-1.6r' to each side of the equation.
13.3 + -0.3r + -1.6r = -8.8 + 1.6r + -1.6r

Combine like terms: -0.3r + -1.6r = -1.9r
13.3 + -1.9r = -8.8 + 1.6r + -1.6r

Combine like terms: 1.6r + -1.6r = 0.0
13.3 + -1.9r = -8.8 + 0.0
13.3 + -1.9r = -8.8

Add '-13.3' to each side of the equation.
13.3 + -13.3 + -1.9r = -8.8 + -13.3

Combine like terms: 13.3 + -13.3 = 0.0
0.0 + -1.9r = -8.8 + -13.3
-1.9r = -8.8 + -13.3

Combine like terms: -8.8 + -13.3 = -22.1
-1.9r = -22.1

Divide each side by '-1.9'.
r = 11.63157895

Simplifying
r = 11.63157895