3(r-9)=-3(4r-1)

Solution for 3(r-9)=-3(4r-1) equation:

Simplifying
3(r + -9) = -3(4r + -1)

Reorder the terms:
3(-9 + r) = -3(4r + -1)
(-9 * 3 + r * 3) = -3(4r + -1)
(-27 + 3r) = -3(4r + -1)

Reorder the terms:
-27 + 3r = -3(-1 + 4r)
-27 + 3r = (-1 * -3 + 4r * -3)
-27 + 3r = (3 + -12r)

Solving
-27 + 3r = 3 + -12r

Solving for variable 'r'.

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

Add '12r' to each side of the equation.
-27 + 3r + 12r = 3 + -12r + 12r

Combine like terms: 3r + 12r = 15r
-27 + 15r = 3 + -12r + 12r

Combine like terms: -12r + 12r = 0
-27 + 15r = 3 + 0
-27 + 15r = 3

Add '27' to each side of the equation.
-27 + 27 + 15r = 3 + 27

Combine like terms: -27 + 27 = 0
0 + 15r = 3 + 27
15r = 3 + 27

Combine like terms: 3 + 27 = 30
15r = 30

Divide each side by '15'.
r = 2

Simplifying
r = 2