9(-5+4r)=-(3r+6)

Solution for 9(-5+4r)=-(3r+6) equation:

Simplifying
9(-5 + 4r) = -1(3r + 6)
(-5 * 9 + 4r * 9) = -1(3r + 6)
(-45 + 36r) = -1(3r + 6)

Reorder the terms:
-45 + 36r = -1(6 + 3r)
-45 + 36r = (6 * -1 + 3r * -1)
-45 + 36r = (-6 + -3r)

Solving
-45 + 36r = -6 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-45 + 36r + 3r = -6 + -3r + 3r

Combine like terms: 36r + 3r = 39r
-45 + 39r = -6 + -3r + 3r

Combine like terms: -3r + 3r = 0
-45 + 39r = -6 + 0
-45 + 39r = -6

Add '45' to each side of the equation.
-45 + 45 + 39r = -6 + 45

Combine like terms: -45 + 45 = 0
0 + 39r = -6 + 45
39r = -6 + 45

Combine like terms: -6 + 45 = 39
39r = 39

Divide each side by '39'.
r = 1

Simplifying
r = 1