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

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

Simplifying
6(5r + -6) + -4(6 + 4r) = 0

Reorder the terms:
6(-6 + 5r) + -4(6 + 4r) = 0
(-6 * 6 + 5r * 6) + -4(6 + 4r) = 0
(-36 + 30r) + -4(6 + 4r) = 0
-36 + 30r + (6 * -4 + 4r * -4) = 0
-36 + 30r + (-24 + -16r) = 0

Reorder the terms:
-36 + -24 + 30r + -16r = 0

Combine like terms: -36 + -24 = -60
-60 + 30r + -16r = 0

Combine like terms: 30r + -16r = 14r
-60 + 14r = 0

Solving
-60 + 14r = 0

Solving for variable 'r'.

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

Add '60' to each side of the equation.
-60 + 60 + 14r = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 14r = 0 + 60
14r = 0 + 60

Combine like terms: 0 + 60 = 60
14r = 60

Divide each side by '14'.
r = 4.285714286

Simplifying
r = 4.285714286