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

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

Simplifying
3(4r + -9) + -4(r + 3) = 0

Reorder the terms:
3(-9 + 4r) + -4(r + 3) = 0
(-9 * 3 + 4r * 3) + -4(r + 3) = 0
(-27 + 12r) + -4(r + 3) = 0

Reorder the terms:
-27 + 12r + -4(3 + r) = 0
-27 + 12r + (3 * -4 + r * -4) = 0
-27 + 12r + (-12 + -4r) = 0

Reorder the terms:
-27 + -12 + 12r + -4r = 0

Combine like terms: -27 + -12 = -39
-39 + 12r + -4r = 0

Combine like terms: 12r + -4r = 8r
-39 + 8r = 0

Solving
-39 + 8r = 0

Solving for variable 'r'.

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

Add '39' to each side of the equation.
-39 + 39 + 8r = 0 + 39

Combine like terms: -39 + 39 = 0
0 + 8r = 0 + 39
8r = 0 + 39

Combine like terms: 0 + 39 = 39
8r = 39

Divide each side by '8'.
r = 4.875

Simplifying
r = 4.875