2r-3(5r+2)=4r-4(6-r)

Solution for 2r-3(5r+2)=4r-4(6-r) equation:

Simplifying
2r + -3(5r + 2) = 4r + -4(6 + -1r)

Reorder the terms:
2r + -3(2 + 5r) = 4r + -4(6 + -1r)
2r + (2 * -3 + 5r * -3) = 4r + -4(6 + -1r)
2r + (-6 + -15r) = 4r + -4(6 + -1r)

Reorder the terms:
-6 + 2r + -15r = 4r + -4(6 + -1r)

Combine like terms: 2r + -15r = -13r
-6 + -13r = 4r + -4(6 + -1r)
-6 + -13r = 4r + (6 * -4 + -1r * -4)
-6 + -13r = 4r + (-24 + 4r)

Reorder the terms:
-6 + -13r = -24 + 4r + 4r

Combine like terms: 4r + 4r = 8r
-6 + -13r = -24 + 8r

Solving
-6 + -13r = -24 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-6 + -13r + -8r = -24 + 8r + -8r

Combine like terms: -13r + -8r = -21r
-6 + -21r = -24 + 8r + -8r

Combine like terms: 8r + -8r = 0
-6 + -21r = -24 + 0
-6 + -21r = -24

Add '6' to each side of the equation.
-6 + 6 + -21r = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -21r = -24 + 6
-21r = -24 + 6

Combine like terms: -24 + 6 = -18
-21r = -18

Divide each side by '-21'.
r = 0.8571428571

Simplifying
r = 0.8571428571